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Finding the Third Proportional to 126,190 and 277,985

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Solution

The third proportional to 126,190 and 277,985 is: 612,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,190 : 277,985 = 277,985 : x
  2. Step 2: Convert to fraction form
    126,190/277,985 = 277,985/x
  3. Step 3: Cross multiply
    126,190x = 277,985 × 277,985
  4. Step 4: Simplify right side
    126,190x = 77,275,660,225
  5. Step 5: Solve for x
    x = 77,275,660,225/126,190
  6. Step 6: Final answer
    x = 612,375.47

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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.