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Finding the Third Proportional to 27.84 and 36.28

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Solution

The third proportional to 27.84 and 36.28 is: 47.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 36.28 = 36.28 : x
  2. Step 2: Convert to fraction form
    27.84/36.28 = 36.28/x
  3. Step 3: Cross multiply
    27.84x = 36.28 × 36.28
  4. Step 4: Simplify right side
    27.84x = 1,316.33
  5. Step 5: Solve for x
    x = 1,316.33/27.84
  6. Step 6: Final answer
    x = 47.28

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.