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Finding the Third Proportional to 38,930 and 87,972

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Solution

The third proportional to 38,930 and 87,972 is: 198,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,930 : 87,972 = 87,972 : x
  2. Step 2: Convert to fraction form
    38,930/87,972 = 87,972/x
  3. Step 3: Cross multiply
    38,930x = 87,972 × 87,972
  4. Step 4: Simplify right side
    38,930x = 7,739,072,784
  5. Step 5: Solve for x
    x = 7,739,072,784/38,930
  6. Step 6: Final answer
    x = 198,794.57

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.