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Finding the Third Proportional to 19.27 and 29.86

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Solution

The third proportional to 19.27 and 29.86 is: 46.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.27 : 29.86 = 29.86 : x
  2. Step 2: Convert to fraction form
    19.27/29.86 = 29.86/x
  3. Step 3: Cross multiply
    19.27x = 29.86 × 29.86
  4. Step 4: Simplify right side
    19.27x = 891.67
  5. Step 5: Solve for x
    x = 891.67/19.27
  6. Step 6: Final answer
    x = 46.28

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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.