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Finding the Third Proportional to 42.56 and 63.84

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Solution

The third proportional to 42.56 and 63.84 is: 95.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.56 : 63.84 = 63.84 : x
  2. Step 2: Convert to fraction form
    42.56/63.84 = 63.84/x
  3. Step 3: Cross multiply
    42.56x = 63.84 × 63.84
  4. Step 4: Simplify right side
    42.56x = 4,076.02
  5. Step 5: Solve for x
    x = 4,076.02/42.56
  6. Step 6: Final answer
    x = 95.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.