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Finding the Third Proportional to 100,372 and 198,224

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Solution

The third proportional to 100,372 and 198,224 is: 391,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,372 : 198,224 = 198,224 : x
  2. Step 2: Convert to fraction form
    100,372/198,224 = 198,224/x
  3. Step 3: Cross multiply
    100,372x = 198,224 × 198,224
  4. Step 4: Simplify right side
    100,372x = 39,292,754,176
  5. Step 5: Solve for x
    x = 39,292,754,176/100,372
  6. Step 6: Final answer
    x = 391,471.27

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.