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Finding the Third Proportional to 71,890 and 156,376

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Solution

The third proportional to 71,890 and 156,376 is: 340,150.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,890 : 156,376 = 156,376 : x
  2. Step 2: Convert to fraction form
    71,890/156,376 = 156,376/x
  3. Step 3: Cross multiply
    71,890x = 156,376 × 156,376
  4. Step 4: Simplify right side
    71,890x = 24,453,453,376
  5. Step 5: Solve for x
    x = 24,453,453,376/71,890
  6. Step 6: Final answer
    x = 340,150.97

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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.