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Finding the Third Proportional to 381,173 and 508,161

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Solution

The third proportional to 381,173 and 508,161 is: 677,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,173 : 508,161 = 508,161 : x
  2. Step 2: Convert to fraction form
    381,173/508,161 = 508,161/x
  3. Step 3: Cross multiply
    381,173x = 508,161 × 508,161
  4. Step 4: Simplify right side
    381,173x = 258,227,601,921
  5. Step 5: Solve for x
    x = 258,227,601,921/381,173
  6. Step 6: Final answer
    x = 677,455.12

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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.