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Finding the Third Proportional to 40.07 and 61.42

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Solution

The third proportional to 40.07 and 61.42 is: 94.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.07 : 61.42 = 61.42 : x
  2. Step 2: Convert to fraction form
    40.07/61.42 = 61.42/x
  3. Step 3: Cross multiply
    40.07x = 61.42 × 61.42
  4. Step 4: Simplify right side
    40.07x = 3,772.17
  5. Step 5: Solve for x
    x = 3,772.17/40.07
  6. Step 6: Final answer
    x = 94.15

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.