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Finding the Third Proportional to 132.47 and 284.53

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Solution

The third proportional to 132.47 and 284.53 is: 611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.47 : 284.53 = 284.53 : x
  2. Step 2: Convert to fraction form
    132.47/284.53 = 284.53/x
  3. Step 3: Cross multiply
    132.47x = 284.53 × 284.53
  4. Step 4: Simplify right side
    132.47x = 80,958.03
  5. Step 5: Solve for x
    x = 80,958.03/132.47
  6. Step 6: Final answer
    x = 611.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.