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Finding the Third Proportional to 378,282 and 822,660

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Solution

The third proportional to 378,282 and 822,660 is: 1,789,060.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,282 : 822,660 = 822,660 : x
  2. Step 2: Convert to fraction form
    378,282/822,660 = 822,660/x
  3. Step 3: Cross multiply
    378,282x = 822,660 × 822,660
  4. Step 4: Simplify right side
    378,282x = 676,769,475,600
  5. Step 5: Solve for x
    x = 676,769,475,600/378,282
  6. Step 6: Final answer
    x = 1,789,060.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.