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Finding the Third Proportional to 56.13 and 82.38

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Solution

The third proportional to 56.13 and 82.38 is: 120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.13 : 82.38 = 82.38 : x
  2. Step 2: Convert to fraction form
    56.13/82.38 = 82.38/x
  3. Step 3: Cross multiply
    56.13x = 82.38 × 82.38
  4. Step 4: Simplify right side
    56.13x = 6,785.64
  5. Step 5: Solve for x
    x = 6,785.64/56.13
  6. Step 6: Final answer
    x = 120.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.