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Finding the Third Proportional to 256,842 and 340,800

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Solution

The third proportional to 256,842 and 340,800 is: 452,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,842 : 340,800 = 340,800 : x
  2. Step 2: Convert to fraction form
    256,842/340,800 = 340,800/x
  3. Step 3: Cross multiply
    256,842x = 340,800 × 340,800
  4. Step 4: Simplify right side
    256,842x = 116,144,640,000
  5. Step 5: Solve for x
    x = 116,144,640,000/256,842
  6. Step 6: Final answer
    x = 452,202.68

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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.