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Finding the Third Proportional to 126,129 and 277,175.25

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Solution

The third proportional to 126,129 and 277,175.25 is: 609,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,129 : 277,175.25 = 277,175.25 : x
  2. Step 2: Convert to fraction form
    126,129/277,175.25 = 277,175.25/x
  3. Step 3: Cross multiply
    126,129x = 277,175.25 × 277,175.25
  4. Step 4: Simplify right side
    126,129x = 76,826,119,212.56
  5. Step 5: Solve for x
    x = 76,826,119,212.56/126,129
  6. Step 6: Final answer
    x = 609,107.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.