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Finding the Third Proportional to 81,901.13 and 123,428.81

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Solution

The third proportional to 81,901.13 and 123,428.81 is: 186,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,901.13 : 123,428.81 = 123,428.81 : x
  2. Step 2: Convert to fraction form
    81,901.13/123,428.81 = 123,428.81/x
  3. Step 3: Cross multiply
    81,901.13x = 123,428.81 × 123,428.81
  4. Step 4: Simplify right side
    81,901.13x = 15,234,671,755.16
  5. Step 5: Solve for x
    x = 15,234,671,755.16/81,901.13
  6. Step 6: Final answer
    x = 186,012.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.