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Finding the Third Proportional to 4.09 and 9.72

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Solution

The third proportional to 4.09 and 9.72 is: 23.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.09 : 9.72 = 9.72 : x
  2. Step 2: Convert to fraction form
    4.09/9.72 = 9.72/x
  3. Step 3: Cross multiply
    4.09x = 9.72 × 9.72
  4. Step 4: Simplify right side
    4.09x = 94.54
  5. Step 5: Solve for x
    x = 94.54/4.09
  6. Step 6: Final answer
    x = 23.14

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.