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Finding the Third Proportional to 178,022 and 381,316

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Solution

The third proportional to 178,022 and 381,316 is: 816,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,022 : 381,316 = 381,316 : x
  2. Step 2: Convert to fraction form
    178,022/381,316 = 381,316/x
  3. Step 3: Cross multiply
    178,022x = 381,316 × 381,316
  4. Step 4: Simplify right side
    178,022x = 145,401,891,856
  5. Step 5: Solve for x
    x = 145,401,891,856/178,022
  6. Step 6: Final answer
    x = 816,763.61

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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.