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Finding the Third Proportional to 10.84 and 15.27

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Solution

The third proportional to 10.84 and 15.27 is: 21.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.84 : 15.27 = 15.27 : x
  2. Step 2: Convert to fraction form
    10.84/15.27 = 15.27/x
  3. Step 3: Cross multiply
    10.84x = 15.27 × 15.27
  4. Step 4: Simplify right side
    10.84x = 233.07
  5. Step 5: Solve for x
    x = 233.07/10.84
  6. Step 6: Final answer
    x = 21.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.