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Finding the Third Proportional to 277,000 and 396,096

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Solution

The third proportional to 277,000 and 396,096 is: 566,397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,000 : 396,096 = 396,096 : x
  2. Step 2: Convert to fraction form
    277,000/396,096 = 396,096/x
  3. Step 3: Cross multiply
    277,000x = 396,096 × 396,096
  4. Step 4: Simplify right side
    277,000x = 156,892,041,216
  5. Step 5: Solve for x
    x = 156,892,041,216/277,000
  6. Step 6: Final answer
    x = 566,397.26

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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.