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Finding the Third Proportional to 321,302 and 480,981

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Solution

The third proportional to 321,302 and 480,981 is: 720,016.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,302 : 480,981 = 480,981 : x
  2. Step 2: Convert to fraction form
    321,302/480,981 = 480,981/x
  3. Step 3: Cross multiply
    321,302x = 480,981 × 480,981
  4. Step 4: Simplify right side
    321,302x = 231,342,722,361
  5. Step 5: Solve for x
    x = 231,342,722,361/321,302
  6. Step 6: Final answer
    x = 720,016.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.