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Finding the Third Proportional to 381,048 and 557,267.25

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Solution

The third proportional to 381,048 and 557,267.25 is: 814,980.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,048 : 557,267.25 = 557,267.25 : x
  2. Step 2: Convert to fraction form
    381,048/557,267.25 = 557,267.25/x
  3. Step 3: Cross multiply
    381,048x = 557,267.25 × 557,267.25
  4. Step 4: Simplify right side
    381,048x = 310,546,787,922.56
  5. Step 5: Solve for x
    x = 310,546,787,922.56/381,048
  6. Step 6: Final answer
    x = 814,980.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.