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Finding the Third Proportional to 126,286 and 277,478

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Solution

The third proportional to 126,286 and 277,478 is: 609,679.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,286 : 277,478 = 277,478 : x
  2. Step 2: Convert to fraction form
    126,286/277,478 = 277,478/x
  3. Step 3: Cross multiply
    126,286x = 277,478 × 277,478
  4. Step 4: Simplify right side
    126,286x = 76,994,040,484
  5. Step 5: Solve for x
    x = 76,994,040,484/126,286
  6. Step 6: Final answer
    x = 609,679.94

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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.