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Finding the Third Proportional to 39.66 and 59.22

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Solution

The third proportional to 39.66 and 59.22 is: 88.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.66 : 59.22 = 59.22 : x
  2. Step 2: Convert to fraction form
    39.66/59.22 = 59.22/x
  3. Step 3: Cross multiply
    39.66x = 59.22 × 59.22
  4. Step 4: Simplify right side
    39.66x = 3,506.86
  5. Step 5: Solve for x
    x = 3,506.86/39.66
  6. Step 6: Final answer
    x = 88.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.