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Finding the Third Proportional to 378,769 and 828,799

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Solution

The third proportional to 378,769 and 828,799 is: 1,813,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,769 : 828,799 = 828,799 : x
  2. Step 2: Convert to fraction form
    378,769/828,799 = 828,799/x
  3. Step 3: Cross multiply
    378,769x = 828,799 × 828,799
  4. Step 4: Simplify right side
    378,769x = 686,907,782,401
  5. Step 5: Solve for x
    x = 686,907,782,401/378,769
  6. Step 6: Final answer
    x = 1,813,526.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.