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Finding the Third Proportional to 27.53 and 57.90

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Solution

The third proportional to 27.53 and 57.90 is: 121.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.53 : 57.90 = 57.90 : x
  2. Step 2: Convert to fraction form
    27.53/57.90 = 57.90/x
  3. Step 3: Cross multiply
    27.53x = 57.90 × 57.90
  4. Step 4: Simplify right side
    27.53x = 3,352.68
  5. Step 5: Solve for x
    x = 3,352.68/27.53
  6. Step 6: Final answer
    x = 121.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.