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Finding the Third Proportional to 20.25 and 28.88

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Solution

The third proportional to 20.25 and 28.88 is: 41.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.25 : 28.88 = 28.88 : x
  2. Step 2: Convert to fraction form
    20.25/28.88 = 28.88/x
  3. Step 3: Cross multiply
    20.25x = 28.88 × 28.88
  4. Step 4: Simplify right side
    20.25x = 833.77
  5. Step 5: Solve for x
    x = 833.77/20.25
  6. Step 6: Final answer
    x = 41.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.