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Finding the Third Proportional to 384,960 and 822,192

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Solution

The third proportional to 384,960 and 822,192 is: 1,756,025.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,960 : 822,192 = 822,192 : x
  2. Step 2: Convert to fraction form
    384,960/822,192 = 822,192/x
  3. Step 3: Cross multiply
    384,960x = 822,192 × 822,192
  4. Step 4: Simplify right side
    384,960x = 675,999,684,864
  5. Step 5: Solve for x
    x = 675,999,684,864/384,960
  6. Step 6: Final answer
    x = 1,756,025.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.