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Finding the Third Proportional to 90,486 and 198,819

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Solution

The third proportional to 90,486 and 198,819 is: 436,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,486 : 198,819 = 198,819 : x
  2. Step 2: Convert to fraction form
    90,486/198,819 = 198,819/x
  3. Step 3: Cross multiply
    90,486x = 198,819 × 198,819
  4. Step 4: Simplify right side
    90,486x = 39,528,994,761
  5. Step 5: Solve for x
    x = 39,528,994,761/90,486
  6. Step 6: Final answer
    x = 436,852.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.