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Finding the Third Proportional to 31,695 and 68,304

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Solution

The third proportional to 31,695 and 68,304 is: 147,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,695 : 68,304 = 68,304 : x
  2. Step 2: Convert to fraction form
    31,695/68,304 = 68,304/x
  3. Step 3: Cross multiply
    31,695x = 68,304 × 68,304
  4. Step 4: Simplify right side
    31,695x = 4,665,436,416
  5. Step 5: Solve for x
    x = 4,665,436,416/31,695
  6. Step 6: Final answer
    x = 147,197.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.