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Finding the Third Proportional to 277,472 and 396,488

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Solution

The third proportional to 277,472 and 396,488 is: 566,553.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,472 : 396,488 = 396,488 : x
  2. Step 2: Convert to fraction form
    277,472/396,488 = 396,488/x
  3. Step 3: Cross multiply
    277,472x = 396,488 × 396,488
  4. Step 4: Simplify right side
    277,472x = 157,202,734,144
  5. Step 5: Solve for x
    x = 157,202,734,144/277,472
  6. Step 6: Final answer
    x = 566,553.51

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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.