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Finding the Third Proportional to 85,119 and 198,819

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Solution

The third proportional to 85,119 and 198,819 is: 464,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,119 : 198,819 = 198,819 : x
  2. Step 2: Convert to fraction form
    85,119/198,819 = 198,819/x
  3. Step 3: Cross multiply
    85,119x = 198,819 × 198,819
  4. Step 4: Simplify right side
    85,119x = 39,528,994,761
  5. Step 5: Solve for x
    x = 39,528,994,761/85,119
  6. Step 6: Final answer
    x = 464,396.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.