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Finding the Third Proportional to 31,612 and 68,125

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Solution

The third proportional to 31,612 and 68,125 is: 146,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,612 : 68,125 = 68,125 : x
  2. Step 2: Convert to fraction form
    31,612/68,125 = 68,125/x
  3. Step 3: Cross multiply
    31,612x = 68,125 × 68,125
  4. Step 4: Simplify right side
    31,612x = 4,641,015,625
  5. Step 5: Solve for x
    x = 4,641,015,625/31,612
  6. Step 6: Final answer
    x = 146,811.83

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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.