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Finding the Third Proportional to 42 and 63.42

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Solution

The third proportional to 42 and 63.42 is: 95.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42 : 63.42 = 63.42 : x
  2. Step 2: Convert to fraction form
    42/63.42 = 63.42/x
  3. Step 3: Cross multiply
    42x = 63.42 × 63.42
  4. Step 4: Simplify right side
    42x = 4,022.33
  5. Step 5: Solve for x
    x = 4,022.33/42
  6. Step 6: Final answer
    x = 95.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.