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Finding the Third Proportional to 152,876 and 324,251

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Solution

The third proportional to 152,876 and 324,251 is: 687,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,876 : 324,251 = 324,251 : x
  2. Step 2: Convert to fraction form
    152,876/324,251 = 324,251/x
  3. Step 3: Cross multiply
    152,876x = 324,251 × 324,251
  4. Step 4: Simplify right side
    152,876x = 105,138,711,001
  5. Step 5: Solve for x
    x = 105,138,711,001/152,876
  6. Step 6: Final answer
    x = 687,738.50

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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.