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Finding the Third Proportional to 31,189 and 68,211

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Solution

The third proportional to 31,189 and 68,211 is: 149,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,189 : 68,211 = 68,211 : x
  2. Step 2: Convert to fraction form
    31,189/68,211 = 68,211/x
  3. Step 3: Cross multiply
    31,189x = 68,211 × 68,211
  4. Step 4: Simplify right side
    31,189x = 4,652,740,521
  5. Step 5: Solve for x
    x = 4,652,740,521/31,189
  6. Step 6: Final answer
    x = 149,178.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.