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Finding the Third Proportional to 490,326 and 693,855

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Solution

The third proportional to 490,326 and 693,855 is: 981,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,326 : 693,855 = 693,855 : x
  2. Step 2: Convert to fraction form
    490,326/693,855 = 693,855/x
  3. Step 3: Cross multiply
    490,326x = 693,855 × 693,855
  4. Step 4: Simplify right side
    490,326x = 481,434,761,025
  5. Step 5: Solve for x
    x = 481,434,761,025/490,326
  6. Step 6: Final answer
    x = 981,866.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.