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Finding the Third Proportional to 126,718 and 275,340

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Solution

The third proportional to 126,718 and 275,340 is: 598,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,718 : 275,340 = 275,340 : x
  2. Step 2: Convert to fraction form
    126,718/275,340 = 275,340/x
  3. Step 3: Cross multiply
    126,718x = 275,340 × 275,340
  4. Step 4: Simplify right side
    126,718x = 75,812,115,600
  5. Step 5: Solve for x
    x = 75,812,115,600/126,718
  6. Step 6: Final answer
    x = 598,274.24

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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.