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Finding the Third Proportional to 381,120 and 833,328

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Solution

The third proportional to 381,120 and 833,328 is: 1,822,091.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,120 : 833,328 = 833,328 : x
  2. Step 2: Convert to fraction form
    381,120/833,328 = 833,328/x
  3. Step 3: Cross multiply
    381,120x = 833,328 × 833,328
  4. Step 4: Simplify right side
    381,120x = 694,435,555,584
  5. Step 5: Solve for x
    x = 694,435,555,584/381,120
  6. Step 6: Final answer
    x = 1,822,091.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.