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Finding the Third Proportional to 71,411 and 156,831

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Solution

The third proportional to 71,411 and 156,831 is: 344,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,411 : 156,831 = 156,831 : x
  2. Step 2: Convert to fraction form
    71,411/156,831 = 156,831/x
  3. Step 3: Cross multiply
    71,411x = 156,831 × 156,831
  4. Step 4: Simplify right side
    71,411x = 24,595,962,561
  5. Step 5: Solve for x
    x = 24,595,962,561/71,411
  6. Step 6: Final answer
    x = 344,428.21

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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.