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Finding the Third Proportional to 8.75 and 20.88

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Solution

The third proportional to 8.75 and 20.88 is: 49.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.75 : 20.88 = 20.88 : x
  2. Step 2: Convert to fraction form
    8.75/20.88 = 20.88/x
  3. Step 3: Cross multiply
    8.75x = 20.88 × 20.88
  4. Step 4: Simplify right side
    8.75x = 435.77
  5. Step 5: Solve for x
    x = 435.77/8.75
  6. Step 6: Final answer
    x = 49.80

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.