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Finding the Third Proportional to 512,354 and 823,195

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Solution

The third proportional to 512,354 and 823,195 is: 1,322,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,354 : 823,195 = 823,195 : x
  2. Step 2: Convert to fraction form
    512,354/823,195 = 823,195/x
  3. Step 3: Cross multiply
    512,354x = 823,195 × 823,195
  4. Step 4: Simplify right side
    512,354x = 677,650,008,025
  5. Step 5: Solve for x
    x = 677,650,008,025/512,354
  6. Step 6: Final answer
    x = 1,322,620.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.