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Finding the Third Proportional to 9,123,463.13 and 12,755,139.19

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Solution

The third proportional to 9,123,463.13 and 12,755,139.19 is: 17,832,436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123,463.13 : 12,755,139.19 = 12,755,139.19 : x
  2. Step 2: Convert to fraction form
    9,123,463.13/12,755,139.19 = 12,755,139.19/x
  3. Step 3: Cross multiply
    9,123,463.13x = 12,755,139.19 × 12,755,139.19
  4. Step 4: Simplify right side
    9,123,463.13x = 162,693,575,692,498.16
  5. Step 5: Solve for x
    x = 162,693,575,692,498.16/9,123,463.13
  6. Step 6: Final answer
    x = 17,832,436.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.