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Finding the Third Proportional to 277,254 and 396,180

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Solution

The third proportional to 277,254 and 396,180 is: 566,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,254 : 396,180 = 396,180 : x
  2. Step 2: Convert to fraction form
    277,254/396,180 = 396,180/x
  3. Step 3: Cross multiply
    277,254x = 396,180 × 396,180
  4. Step 4: Simplify right side
    277,254x = 156,958,592,400
  5. Step 5: Solve for x
    x = 156,958,592,400/277,254
  6. Step 6: Final answer
    x = 566,118.41

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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.