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Finding the Third Proportional to 339,074 and 512,976

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Solution

The third proportional to 339,074 and 512,976 is: 776,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,074 : 512,976 = 512,976 : x
  2. Step 2: Convert to fraction form
    339,074/512,976 = 512,976/x
  3. Step 3: Cross multiply
    339,074x = 512,976 × 512,976
  4. Step 4: Simplify right side
    339,074x = 263,144,376,576
  5. Step 5: Solve for x
    x = 263,144,376,576/339,074
  6. Step 6: Final answer
    x = 776,067.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.