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Finding the Third Proportional to 7.50 and 9.38

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Solution

The third proportional to 7.50 and 9.38 is: 11.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.50 : 9.38 = 9.38 : x
  2. Step 2: Convert to fraction form
    7.50/9.38 = 9.38/x
  3. Step 3: Cross multiply
    7.50x = 9.38 × 9.38
  4. Step 4: Simplify right side
    7.50x = 87.89
  5. Step 5: Solve for x
    x = 87.89/7.50
  6. Step 6: Final answer
    x = 11.72

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.