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Finding the Third Proportional to 81,919 and 173,750

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Solution

The third proportional to 81,919 and 173,750 is: 368,523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,919 : 173,750 = 173,750 : x
  2. Step 2: Convert to fraction form
    81,919/173,750 = 173,750/x
  3. Step 3: Cross multiply
    81,919x = 173,750 × 173,750
  4. Step 4: Simplify right side
    81,919x = 30,189,062,500
  5. Step 5: Solve for x
    x = 30,189,062,500/81,919
  6. Step 6: Final answer
    x = 368,523.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.