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Finding the Third Proportional to 177,354 and 389,199

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Solution

The third proportional to 177,354 and 389,199 is: 854,087.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,354 : 389,199 = 389,199 : x
  2. Step 2: Convert to fraction form
    177,354/389,199 = 389,199/x
  3. Step 3: Cross multiply
    177,354x = 389,199 × 389,199
  4. Step 4: Simplify right side
    177,354x = 151,475,861,601
  5. Step 5: Solve for x
    x = 151,475,861,601/177,354
  6. Step 6: Final answer
    x = 854,087.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.