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Finding the Third Proportional to 222,023 and 329,605

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Solution

The third proportional to 222,023 and 329,605 is: 489,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,023 : 329,605 = 329,605 : x
  2. Step 2: Convert to fraction form
    222,023/329,605 = 329,605/x
  3. Step 3: Cross multiply
    222,023x = 329,605 × 329,605
  4. Step 4: Simplify right side
    222,023x = 108,639,456,025
  5. Step 5: Solve for x
    x = 108,639,456,025/222,023
  6. Step 6: Final answer
    x = 489,316.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.