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Finding the Third Proportional to 92,211 and 138,963

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Solution

The third proportional to 92,211 and 138,963 is: 209,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,211 : 138,963 = 138,963 : x
  2. Step 2: Convert to fraction form
    92,211/138,963 = 138,963/x
  3. Step 3: Cross multiply
    92,211x = 138,963 × 138,963
  4. Step 4: Simplify right side
    92,211x = 19,310,715,369
  5. Step 5: Solve for x
    x = 19,310,715,369/92,211
  6. Step 6: Final answer
    x = 209,418.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.