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Finding the Third Proportional to 642,452,685 and 866,819,508

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Solution

The third proportional to 642,452,685 and 866,819,508 is: 1,169,543,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,452,685 : 866,819,508 = 866,819,508 : x
  2. Step 2: Convert to fraction form
    642,452,685/866,819,508 = 866,819,508/x
  3. Step 3: Cross multiply
    642,452,685x = 866,819,508 × 866,819,508
  4. Step 4: Simplify right side
    642,452,685x = 751,376,059,449,362,048
  5. Step 5: Solve for x
    x = 751,376,059,449,362,048/642,452,685
  6. Step 6: Final answer
    x = 1,169,543,029.38

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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.