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Finding the Third Proportional to 338,808 and 722,608

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Solution

The third proportional to 338,808 and 722,608 is: 1,541,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,808 : 722,608 = 722,608 : x
  2. Step 2: Convert to fraction form
    338,808/722,608 = 722,608/x
  3. Step 3: Cross multiply
    338,808x = 722,608 × 722,608
  4. Step 4: Simplify right side
    338,808x = 522,162,321,664
  5. Step 5: Solve for x
    x = 522,162,321,664/338,808
  6. Step 6: Final answer
    x = 1,541,174.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.