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Finding the Third Proportional to 7.52 and 12.78

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Solution

The third proportional to 7.52 and 12.78 is: 21.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.52 : 12.78 = 12.78 : x
  2. Step 2: Convert to fraction form
    7.52/12.78 = 12.78/x
  3. Step 3: Cross multiply
    7.52x = 12.78 × 12.78
  4. Step 4: Simplify right side
    7.52x = 163.24
  5. Step 5: Solve for x
    x = 163.24/7.52
  6. Step 6: Final answer
    x = 21.72

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.