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Finding the Third Proportional to 4.32 and 11.23

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Solution

The third proportional to 4.32 and 11.23 is: 29.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.32 : 11.23 = 11.23 : x
  2. Step 2: Convert to fraction form
    4.32/11.23 = 11.23/x
  3. Step 3: Cross multiply
    4.32x = 11.23 × 11.23
  4. Step 4: Simplify right side
    4.32x = 126.17
  5. Step 5: Solve for x
    x = 126.17/4.32
  6. Step 6: Final answer
    x = 29.18

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.