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Finding the Third Proportional to 31,539 and 67,361

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Solution

The third proportional to 31,539 and 67,361 is: 143,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,539 : 67,361 = 67,361 : x
  2. Step 2: Convert to fraction form
    31,539/67,361 = 67,361/x
  3. Step 3: Cross multiply
    31,539x = 67,361 × 67,361
  4. Step 4: Simplify right side
    31,539x = 4,537,504,321
  5. Step 5: Solve for x
    x = 4,537,504,321/31,539
  6. Step 6: Final answer
    x = 143,869.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.