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Finding the Third Proportional to 31,777 and 67,917

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Solution

The third proportional to 31,777 and 67,917 is: 145,159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777 : 67,917 = 67,917 : x
  2. Step 2: Convert to fraction form
    31,777/67,917 = 67,917/x
  3. Step 3: Cross multiply
    31,777x = 67,917 × 67,917
  4. Step 4: Simplify right side
    31,777x = 4,612,718,889
  5. Step 5: Solve for x
    x = 4,612,718,889/31,777
  6. Step 6: Final answer
    x = 145,159.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.