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Finding the Third Proportional to 31,197 and 63,651

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Solution

The third proportional to 31,197 and 63,651 is: 129,866.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197 : 63,651 = 63,651 : x
  2. Step 2: Convert to fraction form
    31,197/63,651 = 63,651/x
  3. Step 3: Cross multiply
    31,197x = 63,651 × 63,651
  4. Step 4: Simplify right side
    31,197x = 4,051,449,801
  5. Step 5: Solve for x
    x = 4,051,449,801/31,197
  6. Step 6: Final answer
    x = 129,866.65

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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.