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Finding the Third Proportional to 86,744 and 129,387

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Solution

The third proportional to 86,744 and 129,387 is: 192,993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,744 : 129,387 = 129,387 : x
  2. Step 2: Convert to fraction form
    86,744/129,387 = 129,387/x
  3. Step 3: Cross multiply
    86,744x = 129,387 × 129,387
  4. Step 4: Simplify right side
    86,744x = 16,740,995,769
  5. Step 5: Solve for x
    x = 16,740,995,769/86,744
  6. Step 6: Final answer
    x = 192,993.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.