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Finding the Third Proportional to 31,747 and 68,273

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Solution

The third proportional to 31,747 and 68,273 is: 146,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,747 : 68,273 = 68,273 : x
  2. Step 2: Convert to fraction form
    31,747/68,273 = 68,273/x
  3. Step 3: Cross multiply
    31,747x = 68,273 × 68,273
  4. Step 4: Simplify right side
    31,747x = 4,661,202,529
  5. Step 5: Solve for x
    x = 4,661,202,529/31,747
  6. Step 6: Final answer
    x = 146,823.40

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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.