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Finding the Third Proportional to 71,550 and 155,400.75

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Solution

The third proportional to 71,550 and 155,400.75 is: 337,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,550 : 155,400.75 = 155,400.75 : x
  2. Step 2: Convert to fraction form
    71,550/155,400.75 = 155,400.75/x
  3. Step 3: Cross multiply
    71,550x = 155,400.75 × 155,400.75
  4. Step 4: Simplify right side
    71,550x = 24,149,393,100.56
  5. Step 5: Solve for x
    x = 24,149,393,100.56/71,550
  6. Step 6: Final answer
    x = 337,517.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.