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Finding the Third Proportional to 381,564 and 822,168

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Solution

The third proportional to 381,564 and 822,168 is: 1,771,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,564 : 822,168 = 822,168 : x
  2. Step 2: Convert to fraction form
    381,564/822,168 = 822,168/x
  3. Step 3: Cross multiply
    381,564x = 822,168 × 822,168
  4. Step 4: Simplify right side
    381,564x = 675,960,220,224
  5. Step 5: Solve for x
    x = 675,960,220,224/381,564
  6. Step 6: Final answer
    x = 1,771,551.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.