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Finding the Third Proportional to 20.57 and 27.60

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Solution

The third proportional to 20.57 and 27.60 is: 37.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.57 : 27.60 = 27.60 : x
  2. Step 2: Convert to fraction form
    20.57/27.60 = 27.60/x
  3. Step 3: Cross multiply
    20.57x = 27.60 × 27.60
  4. Step 4: Simplify right side
    20.57x = 761.88
  5. Step 5: Solve for x
    x = 761.88/20.57
  6. Step 6: Final answer
    x = 37.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.