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Finding the Third Proportional to 178,024 and 381,320

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Solution

The third proportional to 178,024 and 381,320 is: 816,771.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,024 : 381,320 = 381,320 : x
  2. Step 2: Convert to fraction form
    178,024/381,320 = 381,320/x
  3. Step 3: Cross multiply
    178,024x = 381,320 × 381,320
  4. Step 4: Simplify right side
    178,024x = 145,404,942,400
  5. Step 5: Solve for x
    x = 145,404,942,400/178,024
  6. Step 6: Final answer
    x = 816,771.57

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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.