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Finding the Third Proportional to 71,917 and 156,810

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Solution

The third proportional to 71,917 and 156,810 is: 341,913.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,917 : 156,810 = 156,810 : x
  2. Step 2: Convert to fraction form
    71,917/156,810 = 156,810/x
  3. Step 3: Cross multiply
    71,917x = 156,810 × 156,810
  4. Step 4: Simplify right side
    71,917x = 24,589,376,100
  5. Step 5: Solve for x
    x = 24,589,376,100/71,917
  6. Step 6: Final answer
    x = 341,913.26

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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.