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Finding the Third Proportional to 98,100 and 218,406

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Solution

The third proportional to 98,100 and 218,406 is: 486,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,100 : 218,406 = 218,406 : x
  2. Step 2: Convert to fraction form
    98,100/218,406 = 218,406/x
  3. Step 3: Cross multiply
    98,100x = 218,406 × 218,406
  4. Step 4: Simplify right side
    98,100x = 47,701,180,836
  5. Step 5: Solve for x
    x = 47,701,180,836/98,100
  6. Step 6: Final answer
    x = 486,250.57

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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.