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Finding the Third Proportional to 12.34 and 16.29

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Solution

The third proportional to 12.34 and 16.29 is: 21.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.34 : 16.29 = 16.29 : x
  2. Step 2: Convert to fraction form
    12.34/16.29 = 16.29/x
  3. Step 3: Cross multiply
    12.34x = 16.29 × 16.29
  4. Step 4: Simplify right side
    12.34x = 265.52
  5. Step 5: Solve for x
    x = 265.52/12.34
  6. Step 6: Final answer
    x = 21.52

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.