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Finding the Third Proportional to 384,228 and 617,349

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Solution

The third proportional to 384,228 and 617,349 is: 991,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,228 : 617,349 = 617,349 : x
  2. Step 2: Convert to fraction form
    384,228/617,349 = 617,349/x
  3. Step 3: Cross multiply
    384,228x = 617,349 × 617,349
  4. Step 4: Simplify right side
    384,228x = 381,119,787,801
  5. Step 5: Solve for x
    x = 381,119,787,801/384,228
  6. Step 6: Final answer
    x = 991,910.50

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.