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Finding the Third Proportional to 20.07 and 41.57

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Solution

The third proportional to 20.07 and 41.57 is: 86.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.07 : 41.57 = 41.57 : x
  2. Step 2: Convert to fraction form
    20.07/41.57 = 41.57/x
  3. Step 3: Cross multiply
    20.07x = 41.57 × 41.57
  4. Step 4: Simplify right side
    20.07x = 1,727.89
  5. Step 5: Solve for x
    x = 1,727.89/20.07
  6. Step 6: Final answer
    x = 86.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.