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Finding the Third Proportional to 256,012 and 339,720

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Solution

The third proportional to 256,012 and 339,720 is: 450,797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,012 : 339,720 = 339,720 : x
  2. Step 2: Convert to fraction form
    256,012/339,720 = 339,720/x
  3. Step 3: Cross multiply
    256,012x = 339,720 × 339,720
  4. Step 4: Simplify right side
    256,012x = 115,409,678,400
  5. Step 5: Solve for x
    x = 115,409,678,400/256,012
  6. Step 6: Final answer
    x = 450,797.93

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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.