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Finding the Third Proportional to 32.78 and 50.97

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Solution

The third proportional to 32.78 and 50.97 is: 79.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.78 : 50.97 = 50.97 : x
  2. Step 2: Convert to fraction form
    32.78/50.97 = 50.97/x
  3. Step 3: Cross multiply
    32.78x = 50.97 × 50.97
  4. Step 4: Simplify right side
    32.78x = 2,597.81
  5. Step 5: Solve for x
    x = 2,597.81/32.78
  6. Step 6: Final answer
    x = 79.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.