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Finding the Third Proportional to 31,754 and 68,295

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Solution

The third proportional to 31,754 and 68,295 is: 146,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,754 : 68,295 = 68,295 : x
  2. Step 2: Convert to fraction form
    31,754/68,295 = 68,295/x
  3. Step 3: Cross multiply
    31,754x = 68,295 × 68,295
  4. Step 4: Simplify right side
    31,754x = 4,664,207,025
  5. Step 5: Solve for x
    x = 4,664,207,025/31,754
  6. Step 6: Final answer
    x = 146,885.65

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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.