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Finding the Third Proportional to 256,078 and 339,810

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Solution

The third proportional to 256,078 and 339,810 is: 450,920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,078 : 339,810 = 339,810 : x
  2. Step 2: Convert to fraction form
    256,078/339,810 = 339,810/x
  3. Step 3: Cross multiply
    256,078x = 339,810 × 339,810
  4. Step 4: Simplify right side
    256,078x = 115,470,836,100
  5. Step 5: Solve for x
    x = 115,470,836,100/256,078
  6. Step 6: Final answer
    x = 450,920.56

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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.