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Finding the Third Proportional to 40.38 and 62.38

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Solution

The third proportional to 40.38 and 62.38 is: 96.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.38 : 62.38 = 62.38 : x
  2. Step 2: Convert to fraction form
    40.38/62.38 = 62.38/x
  3. Step 3: Cross multiply
    40.38x = 62.38 × 62.38
  4. Step 4: Simplify right side
    40.38x = 3,890.64
  5. Step 5: Solve for x
    x = 3,890.64/40.38
  6. Step 6: Final answer
    x = 96.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.