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Finding the Third Proportional to 126,749 and 256,999

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Solution

The third proportional to 126,749 and 256,999 is: 521,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,749 : 256,999 = 256,999 : x
  2. Step 2: Convert to fraction form
    126,749/256,999 = 256,999/x
  3. Step 3: Cross multiply
    126,749x = 256,999 × 256,999
  4. Step 4: Simplify right side
    126,749x = 66,048,486,001
  5. Step 5: Solve for x
    x = 66,048,486,001/126,749
  6. Step 6: Final answer
    x = 521,096.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.