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Finding the Third Proportional to 31,211 and 67,975

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Solution

The third proportional to 31,211 and 67,975 is: 148,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211 : 67,975 = 67,975 : x
  2. Step 2: Convert to fraction form
    31,211/67,975 = 67,975/x
  3. Step 3: Cross multiply
    31,211x = 67,975 × 67,975
  4. Step 4: Simplify right side
    31,211x = 4,620,600,625
  5. Step 5: Solve for x
    x = 4,620,600,625/31,211
  6. Step 6: Final answer
    x = 148,043.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.