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Finding the Third Proportional to 10.61 and 19.86

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Solution

The third proportional to 10.61 and 19.86 is: 37.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.61 : 19.86 = 19.86 : x
  2. Step 2: Convert to fraction form
    10.61/19.86 = 19.86/x
  3. Step 3: Cross multiply
    10.61x = 19.86 × 19.86
  4. Step 4: Simplify right side
    10.61x = 394.57
  5. Step 5: Solve for x
    x = 394.57/10.61
  6. Step 6: Final answer
    x = 37.19

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.