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Finding the Third Proportional to 32.20 and 47.39

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Solution

The third proportional to 32.20 and 47.39 is: 69.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.20 : 47.39 = 47.39 : x
  2. Step 2: Convert to fraction form
    32.20/47.39 = 47.39/x
  3. Step 3: Cross multiply
    32.20x = 47.39 × 47.39
  4. Step 4: Simplify right side
    32.20x = 2,245.87
  5. Step 5: Solve for x
    x = 2,245.87/32.20
  6. Step 6: Final answer
    x = 69.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.