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Finding the Third Proportional to 198,544 and 424,790

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Solution

The third proportional to 198,544 and 424,790 is: 908,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,544 : 424,790 = 424,790 : x
  2. Step 2: Convert to fraction form
    198,544/424,790 = 424,790/x
  3. Step 3: Cross multiply
    198,544x = 424,790 × 424,790
  4. Step 4: Simplify right side
    198,544x = 180,446,544,100
  5. Step 5: Solve for x
    x = 180,446,544,100/198,544
  6. Step 6: Final answer
    x = 908,849.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.