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Finding the Third Proportional to 8.92 and 13.28

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Solution

The third proportional to 8.92 and 13.28 is: 19.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.92 : 13.28 = 13.28 : x
  2. Step 2: Convert to fraction form
    8.92/13.28 = 13.28/x
  3. Step 3: Cross multiply
    8.92x = 13.28 × 13.28
  4. Step 4: Simplify right side
    8.92x = 176.33
  5. Step 5: Solve for x
    x = 176.33/8.92
  6. Step 6: Final answer
    x = 19.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.