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Finding the Third Proportional to 126,712 and 277,180

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Solution

The third proportional to 126,712 and 277,180 is: 606,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,712 : 277,180 = 277,180 : x
  2. Step 2: Convert to fraction form
    126,712/277,180 = 277,180/x
  3. Step 3: Cross multiply
    126,712x = 277,180 × 277,180
  4. Step 4: Simplify right side
    126,712x = 76,828,752,400
  5. Step 5: Solve for x
    x = 76,828,752,400/126,712
  6. Step 6: Final answer
    x = 606,325.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.