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Finding the Third Proportional to 213,467 and 321,608

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Solution

The third proportional to 213,467 and 321,608 is: 484,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,467 : 321,608 = 321,608 : x
  2. Step 2: Convert to fraction form
    213,467/321,608 = 321,608/x
  3. Step 3: Cross multiply
    213,467x = 321,608 × 321,608
  4. Step 4: Simplify right side
    213,467x = 103,431,705,664
  5. Step 5: Solve for x
    x = 103,431,705,664/213,467
  6. Step 6: Final answer
    x = 484,532.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.