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Finding the Third Proportional to 5.79 and 10.61

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Solution

The third proportional to 5.79 and 10.61 is: 19.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.79 : 10.61 = 10.61 : x
  2. Step 2: Convert to fraction form
    5.79/10.61 = 10.61/x
  3. Step 3: Cross multiply
    5.79x = 10.61 × 10.61
  4. Step 4: Simplify right side
    5.79x = 112.49
  5. Step 5: Solve for x
    x = 112.49/5.79
  6. Step 6: Final answer
    x = 19.44

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.