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Finding the Third Proportional to 322,772 and 690,016

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Solution

The third proportional to 322,772 and 690,016 is: 1,475,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,772 : 690,016 = 690,016 : x
  2. Step 2: Convert to fraction form
    322,772/690,016 = 690,016/x
  3. Step 3: Cross multiply
    322,772x = 690,016 × 690,016
  4. Step 4: Simplify right side
    322,772x = 476,122,080,256
  5. Step 5: Solve for x
    x = 476,122,080,256/322,772
  6. Step 6: Final answer
    x = 1,475,103.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.