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Finding the Third Proportional to 361,864 and 771,824

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Solution

The third proportional to 361,864 and 771,824 is: 1,646,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,864 : 771,824 = 771,824 : x
  2. Step 2: Convert to fraction form
    361,864/771,824 = 771,824/x
  3. Step 3: Cross multiply
    361,864x = 771,824 × 771,824
  4. Step 4: Simplify right side
    361,864x = 595,712,286,976
  5. Step 5: Solve for x
    x = 595,712,286,976/361,864
  6. Step 6: Final answer
    x = 1,646,232.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.