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Finding the Third Proportional to 12.34 and 17.24

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Solution

The third proportional to 12.34 and 17.24 is: 24.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.34 : 17.24 = 17.24 : x
  2. Step 2: Convert to fraction form
    12.34/17.24 = 17.24/x
  3. Step 3: Cross multiply
    12.34x = 17.24 × 17.24
  4. Step 4: Simplify right side
    12.34x = 297.36
  5. Step 5: Solve for x
    x = 297.36/12.34
  6. Step 6: Final answer
    x = 24.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.