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Finding the Third Proportional to 256,003 and 339,705

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Solution

The third proportional to 256,003 and 339,705 is: 450,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,003 : 339,705 = 339,705 : x
  2. Step 2: Convert to fraction form
    256,003/339,705 = 339,705/x
  3. Step 3: Cross multiply
    256,003x = 339,705 × 339,705
  4. Step 4: Simplify right side
    256,003x = 115,399,487,025
  5. Step 5: Solve for x
    x = 115,399,487,025/256,003
  6. Step 6: Final answer
    x = 450,773.96

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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.