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Finding the Third Proportional to 98,109 and 218,424

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Solution

The third proportional to 98,109 and 218,424 is: 486,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,109 : 218,424 = 218,424 : x
  2. Step 2: Convert to fraction form
    98,109/218,424 = 218,424/x
  3. Step 3: Cross multiply
    98,109x = 218,424 × 218,424
  4. Step 4: Simplify right side
    98,109x = 47,709,043,776
  5. Step 5: Solve for x
    x = 47,709,043,776/98,109
  6. Step 6: Final answer
    x = 486,286.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.