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Finding the Third Proportional to 381,104 and 557,343

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Solution

The third proportional to 381,104 and 557,343 is: 815,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,104 : 557,343 = 557,343 : x
  2. Step 2: Convert to fraction form
    381,104/557,343 = 557,343/x
  3. Step 3: Cross multiply
    381,104x = 557,343 × 557,343
  4. Step 4: Simplify right side
    381,104x = 310,631,219,649
  5. Step 5: Solve for x
    x = 310,631,219,649/381,104
  6. Step 6: Final answer
    x = 815,082.55

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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.