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Finding the Third Proportional to 381,253 and 508,276

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Solution

The third proportional to 381,253 and 508,276 is: 677,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,253 : 508,276 = 508,276 : x
  2. Step 2: Convert to fraction form
    381,253/508,276 = 508,276/x
  3. Step 3: Cross multiply
    381,253x = 508,276 × 508,276
  4. Step 4: Simplify right side
    381,253x = 258,344,492,176
  5. Step 5: Solve for x
    x = 258,344,492,176/381,253
  6. Step 6: Final answer
    x = 677,619.57

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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.