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Finding the Third Proportional to 83,287,142 and 129,674,473

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Solution

The third proportional to 83,287,142 and 129,674,473 is: 201,897,538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,287,142 : 129,674,473 = 129,674,473 : x
  2. Step 2: Convert to fraction form
    83,287,142/129,674,473 = 129,674,473/x
  3. Step 3: Cross multiply
    83,287,142x = 129,674,473 × 129,674,473
  4. Step 4: Simplify right side
    83,287,142x = 16,815,468,947,827,728
  5. Step 5: Solve for x
    x = 16,815,468,947,827,728/83,287,142
  6. Step 6: Final answer
    x = 201,897,538.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.