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Finding the Third Proportional to 126,929 and 275,708

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Solution

The third proportional to 126,929 and 275,708 is: 598,877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,929 : 275,708 = 275,708 : x
  2. Step 2: Convert to fraction form
    126,929/275,708 = 275,708/x
  3. Step 3: Cross multiply
    126,929x = 275,708 × 275,708
  4. Step 4: Simplify right side
    126,929x = 76,014,901,264
  5. Step 5: Solve for x
    x = 76,014,901,264/126,929
  6. Step 6: Final answer
    x = 598,877.34

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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.