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Finding the Third Proportional to 126,132 and 258,822

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Solution

The third proportional to 126,132 and 258,822 is: 531,100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,132 : 258,822 = 258,822 : x
  2. Step 2: Convert to fraction form
    126,132/258,822 = 258,822/x
  3. Step 3: Cross multiply
    126,132x = 258,822 × 258,822
  4. Step 4: Simplify right side
    126,132x = 66,988,827,684
  5. Step 5: Solve for x
    x = 66,988,827,684/126,132
  6. Step 6: Final answer
    x = 531,100.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.