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Finding the Third Proportional to 7.78 and 11.38

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Solution

The third proportional to 7.78 and 11.38 is: 16.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.78 : 11.38 = 11.38 : x
  2. Step 2: Convert to fraction form
    7.78/11.38 = 11.38/x
  3. Step 3: Cross multiply
    7.78x = 11.38 × 11.38
  4. Step 4: Simplify right side
    7.78x = 129.48
  5. Step 5: Solve for x
    x = 129.48/7.78
  6. Step 6: Final answer
    x = 16.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.