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Finding the Third Proportional to 126,720 and 275,580

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Solution

The third proportional to 126,720 and 275,580 is: 599,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,720 : 275,580 = 275,580 : x
  2. Step 2: Convert to fraction form
    126,720/275,580 = 275,580/x
  3. Step 3: Cross multiply
    126,720x = 275,580 × 275,580
  4. Step 4: Simplify right side
    126,720x = 75,944,336,400
  5. Step 5: Solve for x
    x = 75,944,336,400/126,720
  6. Step 6: Final answer
    x = 599,308.21

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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.