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Finding the Third Proportional to 277,286 and 396,533

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Solution

The third proportional to 277,286 and 396,533 is: 567,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,286 : 396,533 = 396,533 : x
  2. Step 2: Convert to fraction form
    277,286/396,533 = 396,533/x
  3. Step 3: Cross multiply
    277,286x = 396,533 × 396,533
  4. Step 4: Simplify right side
    277,286x = 157,238,420,089
  5. Step 5: Solve for x
    x = 157,238,420,089/277,286
  6. Step 6: Final answer
    x = 567,062.24

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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.