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Finding the Third Proportional to 17.79 and 32.62

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Solution

The third proportional to 17.79 and 32.62 is: 59.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.79 : 32.62 = 32.62 : x
  2. Step 2: Convert to fraction form
    17.79/32.62 = 32.62/x
  3. Step 3: Cross multiply
    17.79x = 32.62 × 32.62
  4. Step 4: Simplify right side
    17.79x = 1,064.32
  5. Step 5: Solve for x
    x = 1,064.32/17.79
  6. Step 6: Final answer
    x = 59.81

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.