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Finding the Third Proportional to 132.15 and 285.92

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Solution

The third proportional to 132.15 and 285.92 is: 618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.15 : 285.92 = 285.92 : x
  2. Step 2: Convert to fraction form
    132.15/285.92 = 285.92/x
  3. Step 3: Cross multiply
    132.15x = 285.92 × 285.92
  4. Step 4: Simplify right side
    132.15x = 81,751.67
  5. Step 5: Solve for x
    x = 81,751.67/132.15
  6. Step 6: Final answer
    x = 618.63

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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.