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Finding the Third Proportional to 132.10 and 285.24

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Solution

The third proportional to 132.10 and 285.24 is: 615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.10 : 285.24 = 285.24 : x
  2. Step 2: Convert to fraction form
    132.10/285.24 = 285.24/x
  3. Step 3: Cross multiply
    132.10x = 285.24 × 285.24
  4. Step 4: Simplify right side
    132.10x = 81,361.99
  5. Step 5: Solve for x
    x = 81,361.99/132.10
  6. Step 6: Final answer
    x = 615.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.