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Finding the Third Proportional to 12.52 and 20.35

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Solution

The third proportional to 12.52 and 20.35 is: 33.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.52 : 20.35 = 20.35 : x
  2. Step 2: Convert to fraction form
    12.52/20.35 = 20.35/x
  3. Step 3: Cross multiply
    12.52x = 20.35 × 20.35
  4. Step 4: Simplify right side
    12.52x = 414.18
  5. Step 5: Solve for x
    x = 414.18/12.52
  6. Step 6: Final answer
    x = 33.07

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.