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Finding the Third Proportional to 126,285 and 270,081

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Solution

The third proportional to 126,285 and 270,081 is: 577,612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,285 : 270,081 = 270,081 : x
  2. Step 2: Convert to fraction form
    126,285/270,081 = 270,081/x
  3. Step 3: Cross multiply
    126,285x = 270,081 × 270,081
  4. Step 4: Simplify right side
    126,285x = 72,943,746,561
  5. Step 5: Solve for x
    x = 72,943,746,561/126,285
  6. Step 6: Final answer
    x = 577,612.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.