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Finding the Third Proportional to 31,344 and 68,304

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Solution

The third proportional to 31,344 and 68,304 is: 148,846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,344 : 68,304 = 68,304 : x
  2. Step 2: Convert to fraction form
    31,344/68,304 = 68,304/x
  3. Step 3: Cross multiply
    31,344x = 68,304 × 68,304
  4. Step 4: Simplify right side
    31,344x = 4,665,436,416
  5. Step 5: Solve for x
    x = 4,665,436,416/31,344
  6. Step 6: Final answer
    x = 148,846.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.