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Finding the Third Proportional to 642,452,684 and 866,819,507

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Solution

The third proportional to 642,452,684 and 866,819,507 is: 1,169,543,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,452,684 : 866,819,507 = 866,819,507 : x
  2. Step 2: Convert to fraction form
    642,452,684/866,819,507 = 866,819,507/x
  3. Step 3: Cross multiply
    642,452,684x = 866,819,507 × 866,819,507
  4. Step 4: Simplify right side
    642,452,684x = 751,376,057,715,723,008
  5. Step 5: Solve for x
    x = 751,376,057,715,723,008/642,452,684
  6. Step 6: Final answer
    x = 1,169,543,028.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.