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Finding the Third Proportional to 256,837.50 and 399,249

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Solution

The third proportional to 256,837.50 and 399,249 is: 620,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,837.50 : 399,249 = 399,249 : x
  2. Step 2: Convert to fraction form
    256,837.50/399,249 = 399,249/x
  3. Step 3: Cross multiply
    256,837.50x = 399,249 × 399,249
  4. Step 4: Simplify right side
    256,837.50x = 159,399,764,001
  5. Step 5: Solve for x
    x = 159,399,764,001/256,837.50
  6. Step 6: Final answer
    x = 620,624.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.