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Finding the Third Proportional to 613,879 and 1,339,263

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Solution

The third proportional to 613,879 and 1,339,263 is: 2,921,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,879 : 1,339,263 = 1,339,263 : x
  2. Step 2: Convert to fraction form
    613,879/1,339,263 = 1,339,263/x
  3. Step 3: Cross multiply
    613,879x = 1,339,263 × 1,339,263
  4. Step 4: Simplify right side
    613,879x = 1,793,625,383,169
  5. Step 5: Solve for x
    x = 1,793,625,383,169/613,879
  6. Step 6: Final answer
    x = 2,921,789.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.