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Finding the Third Proportional to 409,296 and 838,878

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Solution

The third proportional to 409,296 and 838,878 is: 1,719,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,296 : 838,878 = 838,878 : x
  2. Step 2: Convert to fraction form
    409,296/838,878 = 838,878/x
  3. Step 3: Cross multiply
    409,296x = 838,878 × 838,878
  4. Step 4: Simplify right side
    409,296x = 703,716,298,884
  5. Step 5: Solve for x
    x = 703,716,298,884/409,296
  6. Step 6: Final answer
    x = 1,719,333.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.