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Finding the Third Proportional to 31.19 and 47.35

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Solution

The third proportional to 31.19 and 47.35 is: 71.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.19 : 47.35 = 47.35 : x
  2. Step 2: Convert to fraction form
    31.19/47.35 = 47.35/x
  3. Step 3: Cross multiply
    31.19x = 47.35 × 47.35
  4. Step 4: Simplify right side
    31.19x = 2,241.91
  5. Step 5: Solve for x
    x = 2,241.91/31.19
  6. Step 6: Final answer
    x = 71.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.