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Finding the Third Proportional to 380,198 and 569,155

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Solution

The third proportional to 380,198 and 569,155 is: 852,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,198 : 569,155 = 569,155 : x
  2. Step 2: Convert to fraction form
    380,198/569,155 = 569,155/x
  3. Step 3: Cross multiply
    380,198x = 569,155 × 569,155
  4. Step 4: Simplify right side
    380,198x = 323,937,414,025
  5. Step 5: Solve for x
    x = 323,937,414,025/380,198
  6. Step 6: Final answer
    x = 852,022.93

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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.