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Finding the Third Proportional to 20.84 and 27.35

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Solution

The third proportional to 20.84 and 27.35 is: 35.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.84 : 27.35 = 27.35 : x
  2. Step 2: Convert to fraction form
    20.84/27.35 = 27.35/x
  3. Step 3: Cross multiply
    20.84x = 27.35 × 27.35
  4. Step 4: Simplify right side
    20.84x = 748.10
  5. Step 5: Solve for x
    x = 748.10/20.84
  6. Step 6: Final answer
    x = 35.89

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.