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Finding the Third Proportional to 149,384 and 321,808

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Solution

The third proportional to 149,384 and 321,808 is: 693,249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,384 : 321,808 = 321,808 : x
  2. Step 2: Convert to fraction form
    149,384/321,808 = 321,808/x
  3. Step 3: Cross multiply
    149,384x = 321,808 × 321,808
  4. Step 4: Simplify right side
    149,384x = 103,560,388,864
  5. Step 5: Solve for x
    x = 103,560,388,864/149,384
  6. Step 6: Final answer
    x = 693,249.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.