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Finding the Third Proportional to 86,612 and 135,387

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Solution

The third proportional to 86,612 and 135,387 is: 211,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,612 : 135,387 = 135,387 : x
  2. Step 2: Convert to fraction form
    86,612/135,387 = 135,387/x
  3. Step 3: Cross multiply
    86,612x = 135,387 × 135,387
  4. Step 4: Simplify right side
    86,612x = 18,329,639,769
  5. Step 5: Solve for x
    x = 18,329,639,769/86,612
  6. Step 6: Final answer
    x = 211,629.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.