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Finding the Third Proportional to 12.61 and 19.82

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Solution

The third proportional to 12.61 and 19.82 is: 31.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.61 : 19.82 = 19.82 : x
  2. Step 2: Convert to fraction form
    12.61/19.82 = 19.82/x
  3. Step 3: Cross multiply
    12.61x = 19.82 × 19.82
  4. Step 4: Simplify right side
    12.61x = 392.93
  5. Step 5: Solve for x
    x = 392.93/12.61
  6. Step 6: Final answer
    x = 31.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.