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Finding the Third Proportional to 9.47 and 12.28

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Solution

The third proportional to 9.47 and 12.28 is: 15.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.47 : 12.28 = 12.28 : x
  2. Step 2: Convert to fraction form
    9.47/12.28 = 12.28/x
  3. Step 3: Cross multiply
    9.47x = 12.28 × 12.28
  4. Step 4: Simplify right side
    9.47x = 150.83
  5. Step 5: Solve for x
    x = 150.83/9.47
  6. Step 6: Final answer
    x = 15.93

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.