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Finding the Third Proportional to 512,276 and 823,089

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Solution

The third proportional to 512,276 and 823,089 is: 1,322,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,276 : 823,089 = 823,089 : x
  2. Step 2: Convert to fraction form
    512,276/823,089 = 823,089/x
  3. Step 3: Cross multiply
    512,276x = 823,089 × 823,089
  4. Step 4: Simplify right side
    512,276x = 677,475,501,921
  5. Step 5: Solve for x
    x = 677,475,501,921/512,276
  6. Step 6: Final answer
    x = 1,322,481.44

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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.