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Finding the Third Proportional to 284,238 and 379,215

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Solution

The third proportional to 284,238 and 379,215 is: 505,928.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,238 : 379,215 = 379,215 : x
  2. Step 2: Convert to fraction form
    284,238/379,215 = 379,215/x
  3. Step 3: Cross multiply
    284,238x = 379,215 × 379,215
  4. Step 4: Simplify right side
    284,238x = 143,804,016,225
  5. Step 5: Solve for x
    x = 143,804,016,225/284,238
  6. Step 6: Final answer
    x = 505,928.19

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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.