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Finding the Third Proportional to 177,195 and 378,978

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Solution

The third proportional to 177,195 and 378,978 is: 810,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,195 : 378,978 = 378,978 : x
  2. Step 2: Convert to fraction form
    177,195/378,978 = 378,978/x
  3. Step 3: Cross multiply
    177,195x = 378,978 × 378,978
  4. Step 4: Simplify right side
    177,195x = 143,624,324,484
  5. Step 5: Solve for x
    x = 143,624,324,484/177,195
  6. Step 6: Final answer
    x = 810,543.89

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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.