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Finding the Third Proportional to 218,163 and 320,059

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Solution

The third proportional to 218,163 and 320,059 is: 469,546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,163 : 320,059 = 320,059 : x
  2. Step 2: Convert to fraction form
    218,163/320,059 = 320,059/x
  3. Step 3: Cross multiply
    218,163x = 320,059 × 320,059
  4. Step 4: Simplify right side
    218,163x = 102,437,763,481
  5. Step 5: Solve for x
    x = 102,437,763,481/218,163
  6. Step 6: Final answer
    x = 469,546.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.