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Finding the Third Proportional to 27.52 and 58.20

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Solution

The third proportional to 27.52 and 58.20 is: 123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.52 : 58.20 = 58.20 : x
  2. Step 2: Convert to fraction form
    27.52/58.20 = 58.20/x
  3. Step 3: Cross multiply
    27.52x = 58.20 × 58.20
  4. Step 4: Simplify right side
    27.52x = 3,387.60
  5. Step 5: Solve for x
    x = 3,387.60/27.52
  6. Step 6: Final answer
    x = 123.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.