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Finding the Third Proportional to 31,277 and 63,827

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Solution

The third proportional to 31,277 and 63,827 is: 130,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,277 : 63,827 = 63,827 : x
  2. Step 2: Convert to fraction form
    31,277/63,827 = 63,827/x
  3. Step 3: Cross multiply
    31,277x = 63,827 × 63,827
  4. Step 4: Simplify right side
    31,277x = 4,073,885,929
  5. Step 5: Solve for x
    x = 4,073,885,929/31,277
  6. Step 6: Final answer
    x = 130,251.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.