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Finding the Third Proportional to 20.35 and 52.18

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Solution

The third proportional to 20.35 and 52.18 is: 133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.35 : 52.18 = 52.18 : x
  2. Step 2: Convert to fraction form
    20.35/52.18 = 52.18/x
  3. Step 3: Cross multiply
    20.35x = 52.18 × 52.18
  4. Step 4: Simplify right side
    20.35x = 2,723.07
  5. Step 5: Solve for x
    x = 2,723.07/20.35
  6. Step 6: Final answer
    x = 133.80

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.