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Finding the Third Proportional to 89,940 and 129,937

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Solution

The third proportional to 89,940 and 129,937 is: 187,720.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,940 : 129,937 = 129,937 : x
  2. Step 2: Convert to fraction form
    89,940/129,937 = 129,937/x
  3. Step 3: Cross multiply
    89,940x = 129,937 × 129,937
  4. Step 4: Simplify right side
    89,940x = 16,883,623,969
  5. Step 5: Solve for x
    x = 16,883,623,969/89,940
  6. Step 6: Final answer
    x = 187,720.97

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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.