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Finding the Third Proportional to 381,388 and 822,752

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Solution

The third proportional to 381,388 and 822,752 is: 1,774,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,388 : 822,752 = 822,752 : x
  2. Step 2: Convert to fraction form
    381,388/822,752 = 822,752/x
  3. Step 3: Cross multiply
    381,388x = 822,752 × 822,752
  4. Step 4: Simplify right side
    381,388x = 676,920,853,504
  5. Step 5: Solve for x
    x = 676,920,853,504/381,388
  6. Step 6: Final answer
    x = 1,774,887.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.