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Finding the Third Proportional to 63.56 and 124.42

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Solution

The third proportional to 63.56 and 124.42 is: 243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.56 : 124.42 = 124.42 : x
  2. Step 2: Convert to fraction form
    63.56/124.42 = 124.42/x
  3. Step 3: Cross multiply
    63.56x = 124.42 × 124.42
  4. Step 4: Simplify right side
    63.56x = 15,479.83
  5. Step 5: Solve for x
    x = 15,479.83/63.56
  6. Step 6: Final answer
    x = 243.54

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.