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Finding the Third Proportional to 21.84 and 51.61

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Solution

The third proportional to 21.84 and 51.61 is: 121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.84 : 51.61 = 51.61 : x
  2. Step 2: Convert to fraction form
    21.84/51.61 = 51.61/x
  3. Step 3: Cross multiply
    21.84x = 51.61 × 51.61
  4. Step 4: Simplify right side
    21.84x = 2,663.53
  5. Step 5: Solve for x
    x = 2,663.53/21.84
  6. Step 6: Final answer
    x = 121.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.