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Finding the Third Proportional to 277,364 and 396,341

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Solution

The third proportional to 277,364 and 396,341 is: 566,353.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,364 : 396,341 = 396,341 : x
  2. Step 2: Convert to fraction form
    277,364/396,341 = 396,341/x
  3. Step 3: Cross multiply
    277,364x = 396,341 × 396,341
  4. Step 4: Simplify right side
    277,364x = 157,086,188,281
  5. Step 5: Solve for x
    x = 157,086,188,281/277,364
  6. Step 6: Final answer
    x = 566,353.92

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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.