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Finding the Third Proportional to 12.40 and 19.24

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Solution

The third proportional to 12.40 and 19.24 is: 29.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.40 : 19.24 = 19.24 : x
  2. Step 2: Convert to fraction form
    12.40/19.24 = 19.24/x
  3. Step 3: Cross multiply
    12.40x = 19.24 × 19.24
  4. Step 4: Simplify right side
    12.40x = 370.31
  5. Step 5: Solve for x
    x = 370.31/12.40
  6. Step 6: Final answer
    x = 29.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.