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Finding the Third Proportional to 124.78 and 221.72

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Solution

The third proportional to 124.78 and 221.72 is: 393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.78 : 221.72 = 221.72 : x
  2. Step 2: Convert to fraction form
    124.78/221.72 = 221.72/x
  3. Step 3: Cross multiply
    124.78x = 221.72 × 221.72
  4. Step 4: Simplify right side
    124.78x = 49,159.20
  5. Step 5: Solve for x
    x = 49,159.20/124.78
  6. Step 6: Final answer
    x = 393.96

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.