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Finding the Third Proportional to 484,139,317,890.08 and 1,059,480,288,684

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Solution

The third proportional to 484,139,317,890.08 and 1,059,480,288,684 is: 2,318,544,354,137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,139,317,890.08 : 1,059,480,288,684 = 1,059,480,288,684 : x
  2. Step 2: Convert to fraction form
    484,139,317,890.08/1,059,480,288,684 = 1,059,480,288,684/x
  3. Step 3: Cross multiply
    484,139,317,890.08x = 1,059,480,288,684 × 1,059,480,288,684
  4. Step 4: Simplify right side
    484,139,317,890.08x = 1,122,498,482,109,931,977,703,424
  5. Step 5: Solve for x
    x = 1,122,498,482,109,931,977,703,424/484,139,317,890.08
  6. Step 6: Final answer
    x = 2,318,544,354,137.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.