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Finding the Third Proportional to 277,206 and 396,408

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Solution

The third proportional to 277,206 and 396,408 is: 566,868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,206 : 396,408 = 396,408 : x
  2. Step 2: Convert to fraction form
    277,206/396,408 = 396,408/x
  3. Step 3: Cross multiply
    277,206x = 396,408 × 396,408
  4. Step 4: Simplify right side
    277,206x = 157,139,302,464
  5. Step 5: Solve for x
    x = 157,139,302,464/277,206
  6. Step 6: Final answer
    x = 566,868.33

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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.