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Finding the Third Proportional to 8.32 and 21.61

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Solution

The third proportional to 8.32 and 21.61 is: 56.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.32 : 21.61 = 21.61 : x
  2. Step 2: Convert to fraction form
    8.32/21.61 = 21.61/x
  3. Step 3: Cross multiply
    8.32x = 21.61 × 21.61
  4. Step 4: Simplify right side
    8.32x = 467.21
  5. Step 5: Solve for x
    x = 467.21/8.32
  6. Step 6: Final answer
    x = 56.15

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.