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Finding the Third Proportional to 381,251 and 508,273

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Solution

The third proportional to 381,251 and 508,273 is: 677,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,251 : 508,273 = 508,273 : x
  2. Step 2: Convert to fraction form
    381,251/508,273 = 508,273/x
  3. Step 3: Cross multiply
    381,251x = 508,273 × 508,273
  4. Step 4: Simplify right side
    381,251x = 258,341,442,529
  5. Step 5: Solve for x
    x = 258,341,442,529/381,251
  6. Step 6: Final answer
    x = 677,615.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.