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Finding the Third Proportional to 520,518.25 and 1,204,890.25

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Solution

The third proportional to 520,518.25 and 1,204,890.25 is: 2,789,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,518.25 : 1,204,890.25 = 1,204,890.25 : x
  2. Step 2: Convert to fraction form
    520,518.25/1,204,890.25 = 1,204,890.25/x
  3. Step 3: Cross multiply
    520,518.25x = 1,204,890.25 × 1,204,890.25
  4. Step 4: Simplify right side
    520,518.25x = 1,451,760,514,545.06
  5. Step 5: Solve for x
    x = 1,451,760,514,545.06/520,518.25
  6. Step 6: Final answer
    x = 2,789,067.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.