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Finding the Third Proportional to 32.57 and 47.79

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Solution

The third proportional to 32.57 and 47.79 is: 70.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.57 : 47.79 = 47.79 : x
  2. Step 2: Convert to fraction form
    32.57/47.79 = 47.79/x
  3. Step 3: Cross multiply
    32.57x = 47.79 × 47.79
  4. Step 4: Simplify right side
    32.57x = 2,283.62
  5. Step 5: Solve for x
    x = 2,283.62/32.57
  6. Step 6: Final answer
    x = 70.11

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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.