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Finding the Third Proportional to 55,162 and 87,387

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Solution

The third proportional to 55,162 and 87,387 is: 138,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,162 : 87,387 = 87,387 : x
  2. Step 2: Convert to fraction form
    55,162/87,387 = 87,387/x
  3. Step 3: Cross multiply
    55,162x = 87,387 × 87,387
  4. Step 4: Simplify right side
    55,162x = 7,636,487,769
  5. Step 5: Solve for x
    x = 7,636,487,769/55,162
  6. Step 6: Final answer
    x = 138,437.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.