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Finding the Third Proportional to 20.78 and 26.18

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Solution

The third proportional to 20.78 and 26.18 is: 32.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.78 : 26.18 = 26.18 : x
  2. Step 2: Convert to fraction form
    20.78/26.18 = 26.18/x
  3. Step 3: Cross multiply
    20.78x = 26.18 × 26.18
  4. Step 4: Simplify right side
    20.78x = 685.38
  5. Step 5: Solve for x
    x = 685.38/20.78
  6. Step 6: Final answer
    x = 32.98

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.