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Finding the Third Proportional to 31,182 and 68,199

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Solution

The third proportional to 31,182 and 68,199 is: 149,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182 : 68,199 = 68,199 : x
  2. Step 2: Convert to fraction form
    31,182/68,199 = 68,199/x
  3. Step 3: Cross multiply
    31,182x = 68,199 × 68,199
  4. Step 4: Simplify right side
    31,182x = 4,651,103,601
  5. Step 5: Solve for x
    x = 4,651,103,601/31,182
  6. Step 6: Final answer
    x = 149,159.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.