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Finding the Third Proportional to 256,001 and 339,702

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Solution

The third proportional to 256,001 and 339,702 is: 450,769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,001 : 339,702 = 339,702 : x
  2. Step 2: Convert to fraction form
    256,001/339,702 = 339,702/x
  3. Step 3: Cross multiply
    256,001x = 339,702 × 339,702
  4. Step 4: Simplify right side
    256,001x = 115,397,448,804
  5. Step 5: Solve for x
    x = 115,397,448,804/256,001
  6. Step 6: Final answer
    x = 450,769.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.