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Finding the Third Proportional to 52.56 and 68.69

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Solution

The third proportional to 52.56 and 68.69 is: 89.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.56 : 68.69 = 68.69 : x
  2. Step 2: Convert to fraction form
    52.56/68.69 = 68.69/x
  3. Step 3: Cross multiply
    52.56x = 68.69 × 68.69
  4. Step 4: Simplify right side
    52.56x = 4,717.97
  5. Step 5: Solve for x
    x = 4,717.97/52.56
  6. Step 6: Final answer
    x = 89.76

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.