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Finding the Third Proportional to 27.72 and 74.55

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Solution

The third proportional to 27.72 and 74.55 is: 200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.72 : 74.55 = 74.55 : x
  2. Step 2: Convert to fraction form
    27.72/74.55 = 74.55/x
  3. Step 3: Cross multiply
    27.72x = 74.55 × 74.55
  4. Step 4: Simplify right side
    27.72x = 5,557.24
  5. Step 5: Solve for x
    x = 5,557.24/27.72
  6. Step 6: Final answer
    x = 200.49

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.