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Finding the Third Proportional to 256,002 and 339,703.50

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Solution

The third proportional to 256,002 and 339,703.50 is: 450,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,002 : 339,703.50 = 339,703.50 : x
  2. Step 2: Convert to fraction form
    256,002/339,703.50 = 339,703.50/x
  3. Step 3: Cross multiply
    256,002x = 339,703.50 × 339,703.50
  4. Step 4: Simplify right side
    256,002x = 115,398,467,912.25
  5. Step 5: Solve for x
    x = 115,398,467,912.25/256,002
  6. Step 6: Final answer
    x = 450,771.74

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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.