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Finding the Third Proportional to 256,351 and 552,147

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Solution

The third proportional to 256,351 and 552,147 is: 1,189,253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,351 : 552,147 = 552,147 : x
  2. Step 2: Convert to fraction form
    256,351/552,147 = 552,147/x
  3. Step 3: Cross multiply
    256,351x = 552,147 × 552,147
  4. Step 4: Simplify right side
    256,351x = 304,866,309,609
  5. Step 5: Solve for x
    x = 304,866,309,609/256,351
  6. Step 6: Final answer
    x = 1,189,253.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.