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Finding the Third Proportional to 22.78 and 39.87

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Solution

The third proportional to 22.78 and 39.87 is: 69.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.78 : 39.87 = 39.87 : x
  2. Step 2: Convert to fraction form
    22.78/39.87 = 39.87/x
  3. Step 3: Cross multiply
    22.78x = 39.87 × 39.87
  4. Step 4: Simplify right side
    22.78x = 1,589.39
  5. Step 5: Solve for x
    x = 1,589.39/22.78
  6. Step 6: Final answer
    x = 69.77

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.