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Finding the Third Proportional to 31,734 and 68,478

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Solution

The third proportional to 31,734 and 68,478 is: 147,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,734 : 68,478 = 68,478 : x
  2. Step 2: Convert to fraction form
    31,734/68,478 = 68,478/x
  3. Step 3: Cross multiply
    31,734x = 68,478 × 68,478
  4. Step 4: Simplify right side
    31,734x = 4,689,236,484
  5. Step 5: Solve for x
    x = 4,689,236,484/31,734
  6. Step 6: Final answer
    x = 147,766.95

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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.