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Finding the Third Proportional to 178,486 and 386,378

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Solution

The third proportional to 178,486 and 386,378 is: 836,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,486 : 386,378 = 386,378 : x
  2. Step 2: Convert to fraction form
    178,486/386,378 = 386,378/x
  3. Step 3: Cross multiply
    178,486x = 386,378 × 386,378
  4. Step 4: Simplify right side
    178,486x = 149,287,958,884
  5. Step 5: Solve for x
    x = 149,287,958,884/178,486
  6. Step 6: Final answer
    x = 836,412.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.