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Finding the Third Proportional to 378,110 and 567,165

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Solution

The third proportional to 378,110 and 567,165 is: 850,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,110 : 567,165 = 567,165 : x
  2. Step 2: Convert to fraction form
    378,110/567,165 = 567,165/x
  3. Step 3: Cross multiply
    378,110x = 567,165 × 567,165
  4. Step 4: Simplify right side
    378,110x = 321,676,137,225
  5. Step 5: Solve for x
    x = 321,676,137,225/378,110
  6. Step 6: Final answer
    x = 850,747.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.