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Finding the Third Proportional to 277,280 and 396,524

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Solution

The third proportional to 277,280 and 396,524 is: 567,048.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,280 : 396,524 = 396,524 : x
  2. Step 2: Convert to fraction form
    277,280/396,524 = 396,524/x
  3. Step 3: Cross multiply
    277,280x = 396,524 × 396,524
  4. Step 4: Simplify right side
    277,280x = 157,231,282,576
  5. Step 5: Solve for x
    x = 157,231,282,576/277,280
  6. Step 6: Final answer
    x = 567,048.77

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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.