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Finding the Third Proportional to 277,698.38 and 419,974.88

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Solution

The third proportional to 277,698.38 and 419,974.88 is: 635,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,698.38 : 419,974.88 = 419,974.88 : x
  2. Step 2: Convert to fraction form
    277,698.38/419,974.88 = 419,974.88/x
  3. Step 3: Cross multiply
    277,698.38x = 419,974.88 × 419,974.88
  4. Step 4: Simplify right side
    277,698.38x = 176,378,895,631.27
  5. Step 5: Solve for x
    x = 176,378,895,631.27/277,698.38
  6. Step 6: Final answer
    x = 635,145.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.