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Finding the Third Proportional to 71,890 and 156,374

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Solution

The third proportional to 71,890 and 156,374 is: 340,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,890 : 156,374 = 156,374 : x
  2. Step 2: Convert to fraction form
    71,890/156,374 = 156,374/x
  3. Step 3: Cross multiply
    71,890x = 156,374 × 156,374
  4. Step 4: Simplify right side
    71,890x = 24,452,827,876
  5. Step 5: Solve for x
    x = 24,452,827,876/71,890
  6. Step 6: Final answer
    x = 340,142.27

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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.