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Finding the Third Proportional to 178,568 and 381,354

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Solution

The third proportional to 178,568 and 381,354 is: 814,428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,568 : 381,354 = 381,354 : x
  2. Step 2: Convert to fraction form
    178,568/381,354 = 381,354/x
  3. Step 3: Cross multiply
    178,568x = 381,354 × 381,354
  4. Step 4: Simplify right side
    178,568x = 145,430,873,316
  5. Step 5: Solve for x
    x = 145,430,873,316/178,568
  6. Step 6: Final answer
    x = 814,428.53

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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.