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Finding the Third Proportional to 387,684 and 822,324

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Solution

The third proportional to 387,684 and 822,324 is: 1,744,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,684 : 822,324 = 822,324 : x
  2. Step 2: Convert to fraction form
    387,684/822,324 = 822,324/x
  3. Step 3: Cross multiply
    387,684x = 822,324 × 822,324
  4. Step 4: Simplify right side
    387,684x = 676,216,760,976
  5. Step 5: Solve for x
    x = 676,216,760,976/387,684
  6. Step 6: Final answer
    x = 1,744,247.28

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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.