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Finding the Third Proportional to 32.46 and 69.68

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Solution

The third proportional to 32.46 and 69.68 is: 149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.46 : 69.68 = 69.68 : x
  2. Step 2: Convert to fraction form
    32.46/69.68 = 69.68/x
  3. Step 3: Cross multiply
    32.46x = 69.68 × 69.68
  4. Step 4: Simplify right side
    32.46x = 4,855.26
  5. Step 5: Solve for x
    x = 4,855.26/32.46
  6. Step 6: Final answer
    x = 149.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.