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Finding the Third Proportional to 71,399.25 and 156,808.75

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Solution

The third proportional to 71,399.25 and 156,808.75 is: 344,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,399.25 : 156,808.75 = 156,808.75 : x
  2. Step 2: Convert to fraction form
    71,399.25/156,808.75 = 156,808.75/x
  3. Step 3: Cross multiply
    71,399.25x = 156,808.75 × 156,808.75
  4. Step 4: Simplify right side
    71,399.25x = 24,588,984,076.56
  5. Step 5: Solve for x
    x = 24,588,984,076.56/71,399.25
  6. Step 6: Final answer
    x = 344,387.15

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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.