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Finding the Third Proportional to 126,756 and 275,409

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Solution

The third proportional to 126,756 and 275,409 is: 598,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,756 : 275,409 = 275,409 : x
  2. Step 2: Convert to fraction form
    126,756/275,409 = 275,409/x
  3. Step 3: Cross multiply
    126,756x = 275,409 × 275,409
  4. Step 4: Simplify right side
    126,756x = 75,850,117,281
  5. Step 5: Solve for x
    x = 75,850,117,281/126,756
  6. Step 6: Final answer
    x = 598,394.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.