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Finding the Third Proportional to 381,047.75 and 557,267

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Solution

The third proportional to 381,047.75 and 557,267 is: 814,980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,047.75 : 557,267 = 557,267 : x
  2. Step 2: Convert to fraction form
    381,047.75/557,267 = 557,267/x
  3. Step 3: Cross multiply
    381,047.75x = 557,267 × 557,267
  4. Step 4: Simplify right side
    381,047.75x = 310,546,509,289
  5. Step 5: Solve for x
    x = 310,546,509,289/381,047.75
  6. Step 6: Final answer
    x = 814,980.56

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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.