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Finding the Third Proportional to 384,208 and 617,320

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Solution

The third proportional to 384,208 and 617,320 is: 991,868.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,208 : 617,320 = 617,320 : x
  2. Step 2: Convert to fraction form
    384,208/617,320 = 617,320/x
  3. Step 3: Cross multiply
    384,208x = 617,320 × 617,320
  4. Step 4: Simplify right side
    384,208x = 381,083,982,400
  5. Step 5: Solve for x
    x = 381,083,982,400/384,208
  6. Step 6: Final answer
    x = 991,868.94

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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.