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Finding the Third Proportional to 115,411 and 173,876

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Solution

The third proportional to 115,411 and 173,876 is: 261,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,411 : 173,876 = 173,876 : x
  2. Step 2: Convert to fraction form
    115,411/173,876 = 173,876/x
  3. Step 3: Cross multiply
    115,411x = 173,876 × 173,876
  4. Step 4: Simplify right side
    115,411x = 30,232,863,376
  5. Step 5: Solve for x
    x = 30,232,863,376/115,411
  6. Step 6: Final answer
    x = 261,958.25

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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.