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Finding the Third Proportional to 27.88 and 40.38

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Solution

The third proportional to 27.88 and 40.38 is: 58.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.88 : 40.38 = 40.38 : x
  2. Step 2: Convert to fraction form
    27.88/40.38 = 40.38/x
  3. Step 3: Cross multiply
    27.88x = 40.38 × 40.38
  4. Step 4: Simplify right side
    27.88x = 1,630.14
  5. Step 5: Solve for x
    x = 1,630.14/27.88
  6. Step 6: Final answer
    x = 58.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.