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Finding the Third Proportional to 680,209,759 and 1,020,137,485

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Solution

The third proportional to 680,209,759 and 1,020,137,485 is: 1,529,940,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,209,759 : 1,020,137,485 = 1,020,137,485 : x
  2. Step 2: Convert to fraction form
    680,209,759/1,020,137,485 = 1,020,137,485/x
  3. Step 3: Cross multiply
    680,209,759x = 1,020,137,485 × 1,020,137,485
  4. Step 4: Simplify right side
    680,209,759x = 1,040,680,488,302,125,184
  5. Step 5: Solve for x
    x = 1,040,680,488,302,125,184/680,209,759
  6. Step 6: Final answer
    x = 1,529,940,543.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.