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Finding the Third Proportional to 645,296,688 and 991,867,488

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Solution

The third proportional to 645,296,688 and 991,867,488 is: 1,524,571,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,296,688 : 991,867,488 = 991,867,488 : x
  2. Step 2: Convert to fraction form
    645,296,688/991,867,488 = 991,867,488/x
  3. Step 3: Cross multiply
    645,296,688x = 991,867,488 × 991,867,488
  4. Step 4: Simplify right side
    645,296,688x = 983,801,113,751,430,144
  5. Step 5: Solve for x
    x = 983,801,113,751,430,144/645,296,688
  6. Step 6: Final answer
    x = 1,524,571,769.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.