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Finding the Third Proportional to 61.30 and 132.18

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Solution

The third proportional to 61.30 and 132.18 is: 284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.30 : 132.18 = 132.18 : x
  2. Step 2: Convert to fraction form
    61.30/132.18 = 132.18/x
  3. Step 3: Cross multiply
    61.30x = 132.18 × 132.18
  4. Step 4: Simplify right side
    61.30x = 17,471.21
  5. Step 5: Solve for x
    x = 17,471.21/61.30
  6. Step 6: Final answer
    x = 284.99

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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.