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Finding the Third Proportional to 38,900 and 81,724

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Solution

The third proportional to 38,900 and 81,724 is: 171,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,900 : 81,724 = 81,724 : x
  2. Step 2: Convert to fraction form
    38,900/81,724 = 81,724/x
  3. Step 3: Cross multiply
    38,900x = 81,724 × 81,724
  4. Step 4: Simplify right side
    38,900x = 6,678,812,176
  5. Step 5: Solve for x
    x = 6,678,812,176/38,900
  6. Step 6: Final answer
    x = 171,691.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.