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Finding the Third Proportional to 256,768.50 and 399,147

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Solution

The third proportional to 256,768.50 and 399,147 is: 620,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,768.50 : 399,147 = 399,147 : x
  2. Step 2: Convert to fraction form
    256,768.50/399,147 = 399,147/x
  3. Step 3: Cross multiply
    256,768.50x = 399,147 × 399,147
  4. Step 4: Simplify right side
    256,768.50x = 159,318,327,609
  5. Step 5: Solve for x
    x = 159,318,327,609/256,768.50
  6. Step 6: Final answer
    x = 620,474.58

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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.