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Finding the Third Proportional to 70,414 and 156,571

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Solution

The third proportional to 70,414 and 156,571 is: 348,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,414 : 156,571 = 156,571 : x
  2. Step 2: Convert to fraction form
    70,414/156,571 = 156,571/x
  3. Step 3: Cross multiply
    70,414x = 156,571 × 156,571
  4. Step 4: Simplify right side
    70,414x = 24,514,478,041
  5. Step 5: Solve for x
    x = 24,514,478,041/70,414
  6. Step 6: Final answer
    x = 348,147.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.