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Finding the Third Proportional to 3.15 and 5.38

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Solution

The third proportional to 3.15 and 5.38 is: 9.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.15 : 5.38 = 5.38 : x
  2. Step 2: Convert to fraction form
    3.15/5.38 = 5.38/x
  3. Step 3: Cross multiply
    3.15x = 5.38 × 5.38
  4. Step 4: Simplify right side
    3.15x = 28.92
  5. Step 5: Solve for x
    x = 28.92/3.15
  6. Step 6: Final answer
    x = 9.17

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.