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Finding the Third Proportional to 277,002 and 396,099

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Solution

The third proportional to 277,002 and 396,099 is: 566,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,002 : 396,099 = 396,099 : x
  2. Step 2: Convert to fraction form
    277,002/396,099 = 396,099/x
  3. Step 3: Cross multiply
    277,002x = 396,099 × 396,099
  4. Step 4: Simplify right side
    277,002x = 156,894,417,801
  5. Step 5: Solve for x
    x = 156,894,417,801/277,002
  6. Step 6: Final answer
    x = 566,401.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.