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Finding the Third Proportional to 4.38 and 8.14

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Solution

The third proportional to 4.38 and 8.14 is: 15.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.38 : 8.14 = 8.14 : x
  2. Step 2: Convert to fraction form
    4.38/8.14 = 8.14/x
  3. Step 3: Cross multiply
    4.38x = 8.14 × 8.14
  4. Step 4: Simplify right side
    4.38x = 66.18
  5. Step 5: Solve for x
    x = 66.18/4.38
  6. Step 6: Final answer
    x = 15.10

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.