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Finding the Third Proportional to 126,880 and 275,623

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Solution

The third proportional to 126,880 and 275,623 is: 598,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,880 : 275,623 = 275,623 : x
  2. Step 2: Convert to fraction form
    126,880/275,623 = 275,623/x
  3. Step 3: Cross multiply
    126,880x = 275,623 × 275,623
  4. Step 4: Simplify right side
    126,880x = 75,968,038,129
  5. Step 5: Solve for x
    x = 75,968,038,129/126,880
  6. Step 6: Final answer
    x = 598,739.27

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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.