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Finding the Third Proportional to 31,799 and 68,518

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Solution

The third proportional to 31,799 and 68,518 is: 147,637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,799 : 68,518 = 68,518 : x
  2. Step 2: Convert to fraction form
    31,799/68,518 = 68,518/x
  3. Step 3: Cross multiply
    31,799x = 68,518 × 68,518
  4. Step 4: Simplify right side
    31,799x = 4,694,716,324
  5. Step 5: Solve for x
    x = 4,694,716,324/31,799
  6. Step 6: Final answer
    x = 147,637.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.