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Finding the Third Proportional to 32.23 and 69.81

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Solution

The third proportional to 32.23 and 69.81 is: 151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.23 : 69.81 = 69.81 : x
  2. Step 2: Convert to fraction form
    32.23/69.81 = 69.81/x
  3. Step 3: Cross multiply
    32.23x = 69.81 × 69.81
  4. Step 4: Simplify right side
    32.23x = 4,873.79
  5. Step 5: Solve for x
    x = 4,873.79/32.23
  6. Step 6: Final answer
    x = 151.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.