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Finding the Third Proportional to 126,306 and 270,120

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Solution

The third proportional to 126,306 and 270,120 is: 577,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,306 : 270,120 = 270,120 : x
  2. Step 2: Convert to fraction form
    126,306/270,120 = 270,120/x
  3. Step 3: Cross multiply
    126,306x = 270,120 × 270,120
  4. Step 4: Simplify right side
    126,306x = 72,964,814,400
  5. Step 5: Solve for x
    x = 72,964,814,400/126,306
  6. Step 6: Final answer
    x = 577,682.88

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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.