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Finding the Third Proportional to 135,918 and 284,229

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Solution

The third proportional to 135,918 and 284,229 is: 594,373.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,918 : 284,229 = 284,229 : x
  2. Step 2: Convert to fraction form
    135,918/284,229 = 284,229/x
  3. Step 3: Cross multiply
    135,918x = 284,229 × 284,229
  4. Step 4: Simplify right side
    135,918x = 80,786,124,441
  5. Step 5: Solve for x
    x = 80,786,124,441/135,918
  6. Step 6: Final answer
    x = 594,373.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.