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Finding the Third Proportional to 71,885 and 156,366

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Solution

The third proportional to 71,885 and 156,366 is: 340,131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,885 : 156,366 = 156,366 : x
  2. Step 2: Convert to fraction form
    71,885/156,366 = 156,366/x
  3. Step 3: Cross multiply
    71,885x = 156,366 × 156,366
  4. Step 4: Simplify right side
    71,885x = 24,450,325,956
  5. Step 5: Solve for x
    x = 24,450,325,956/71,885
  6. Step 6: Final answer
    x = 340,131.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.