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Finding the Third Proportional to 8.75 and 22.17

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Solution

The third proportional to 8.75 and 22.17 is: 56.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.75 : 22.17 = 22.17 : x
  2. Step 2: Convert to fraction form
    8.75/22.17 = 22.17/x
  3. Step 3: Cross multiply
    8.75x = 22.17 × 22.17
  4. Step 4: Simplify right side
    8.75x = 491.72
  5. Step 5: Solve for x
    x = 491.72/8.75
  6. Step 6: Final answer
    x = 56.17

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.