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Finding the Third Proportional to 218,109 and 328,257

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Solution

The third proportional to 218,109 and 328,257 is: 494,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,109 : 328,257 = 328,257 : x
  2. Step 2: Convert to fraction form
    218,109/328,257 = 328,257/x
  3. Step 3: Cross multiply
    218,109x = 328,257 × 328,257
  4. Step 4: Simplify right side
    218,109x = 107,752,658,049
  5. Step 5: Solve for x
    x = 107,752,658,049/218,109
  6. Step 6: Final answer
    x = 494,031.23

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