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Finding the Third Proportional to 87,931 and 178,970

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Solution

The third proportional to 87,931 and 178,970 is: 364,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,931 : 178,970 = 178,970 : x
  2. Step 2: Convert to fraction form
    87,931/178,970 = 178,970/x
  3. Step 3: Cross multiply
    87,931x = 178,970 × 178,970
  4. Step 4: Simplify right side
    87,931x = 32,030,260,900
  5. Step 5: Solve for x
    x = 32,030,260,900/87,931
  6. Step 6: Final answer
    x = 364,265.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.