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Finding the Third Proportional to 126,407 and 270,310

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Solution

The third proportional to 126,407 and 270,310 is: 578,033.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,407 : 270,310 = 270,310 : x
  2. Step 2: Convert to fraction form
    126,407/270,310 = 270,310/x
  3. Step 3: Cross multiply
    126,407x = 270,310 × 270,310
  4. Step 4: Simplify right side
    126,407x = 73,067,496,100
  5. Step 5: Solve for x
    x = 73,067,496,100/126,407
  6. Step 6: Final answer
    x = 578,033.62

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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.