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Finding the Third Proportional to 31,311 and 67,176

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Solution

The third proportional to 31,311 and 67,176 is: 144,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,311 : 67,176 = 67,176 : x
  2. Step 2: Convert to fraction form
    31,311/67,176 = 67,176/x
  3. Step 3: Cross multiply
    31,311x = 67,176 × 67,176
  4. Step 4: Simplify right side
    31,311x = 4,512,614,976
  5. Step 5: Solve for x
    x = 4,512,614,976/31,311
  6. Step 6: Final answer
    x = 144,122.35

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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.