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Finding the Third Proportional to 381,175 and 508,164

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Solution

The third proportional to 381,175 and 508,164 is: 677,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,175 : 508,164 = 508,164 : x
  2. Step 2: Convert to fraction form
    381,175/508,164 = 508,164/x
  3. Step 3: Cross multiply
    381,175x = 508,164 × 508,164
  4. Step 4: Simplify right side
    381,175x = 258,230,650,896
  5. Step 5: Solve for x
    x = 258,230,650,896/381,175
  6. Step 6: Final answer
    x = 677,459.57

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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.