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Finding the Third Proportional to 89,938.13 and 129,934.13

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Solution

The third proportional to 89,938.13 and 129,934.13 is: 187,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,938.13 : 129,934.13 = 129,934.13 : x
  2. Step 2: Convert to fraction form
    89,938.13/129,934.13 = 129,934.13/x
  3. Step 3: Cross multiply
    89,938.13x = 129,934.13 × 129,934.13
  4. Step 4: Simplify right side
    89,938.13x = 16,882,876,839.52
  5. Step 5: Solve for x
    x = 16,882,876,839.52/89,938.13
  6. Step 6: Final answer
    x = 187,716.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.