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Finding the Third Proportional to 387,873 and 822,698

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Solution

The third proportional to 387,873 and 822,698 is: 1,744,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,873 : 822,698 = 822,698 : x
  2. Step 2: Convert to fraction form
    387,873/822,698 = 822,698/x
  3. Step 3: Cross multiply
    387,873x = 822,698 × 822,698
  4. Step 4: Simplify right side
    387,873x = 676,831,999,204
  5. Step 5: Solve for x
    x = 676,831,999,204/387,873
  6. Step 6: Final answer
    x = 1,744,983.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.