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Finding the Third Proportional to 10.61 and 28.84

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Solution

The third proportional to 10.61 and 28.84 is: 78.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.61 : 28.84 = 28.84 : x
  2. Step 2: Convert to fraction form
    10.61/28.84 = 28.84/x
  3. Step 3: Cross multiply
    10.61x = 28.84 × 28.84
  4. Step 4: Simplify right side
    10.61x = 831.96
  5. Step 5: Solve for x
    x = 831.96/10.61
  6. Step 6: Final answer
    x = 78.42

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.