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Finding the Third Proportional to 20.25 and 35.28

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Solution

The third proportional to 20.25 and 35.28 is: 61.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.25 : 35.28 = 35.28 : x
  2. Step 2: Convert to fraction form
    20.25/35.28 = 35.28/x
  3. Step 3: Cross multiply
    20.25x = 35.28 × 35.28
  4. Step 4: Simplify right side
    20.25x = 1,244.63
  5. Step 5: Solve for x
    x = 1,244.63/20.25
  6. Step 6: Final answer
    x = 61.46

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.