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Finding the Third Proportional to 71,358 and 156,840

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Solution

The third proportional to 71,358 and 156,840 is: 344,723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,358 : 156,840 = 156,840 : x
  2. Step 2: Convert to fraction form
    71,358/156,840 = 156,840/x
  3. Step 3: Cross multiply
    71,358x = 156,840 × 156,840
  4. Step 4: Simplify right side
    71,358x = 24,598,785,600
  5. Step 5: Solve for x
    x = 24,598,785,600/71,358
  6. Step 6: Final answer
    x = 344,723.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.