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Finding the Third Proportional to 379,154 and 568,155

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Solution

The third proportional to 379,154 and 568,155 is: 851,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,154 : 568,155 = 568,155 : x
  2. Step 2: Convert to fraction form
    379,154/568,155 = 568,155/x
  3. Step 3: Cross multiply
    379,154x = 568,155 × 568,155
  4. Step 4: Simplify right side
    379,154x = 322,800,104,025
  5. Step 5: Solve for x
    x = 322,800,104,025/379,154
  6. Step 6: Final answer
    x = 851,369.38

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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.