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Finding the Third Proportional to 256,010 and 339,714

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Solution

The third proportional to 256,010 and 339,714 is: 450,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,010 : 339,714 = 339,714 : x
  2. Step 2: Convert to fraction form
    256,010/339,714 = 339,714/x
  3. Step 3: Cross multiply
    256,010x = 339,714 × 339,714
  4. Step 4: Simplify right side
    256,010x = 115,405,601,796
  5. Step 5: Solve for x
    x = 115,405,601,796/256,010
  6. Step 6: Final answer
    x = 450,785.52

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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.