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Finding the Third Proportional to 178,416 and 387,936

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Solution

The third proportional to 178,416 and 387,936 is: 843,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,416 : 387,936 = 387,936 : x
  2. Step 2: Convert to fraction form
    178,416/387,936 = 387,936/x
  3. Step 3: Cross multiply
    178,416x = 387,936 × 387,936
  4. Step 4: Simplify right side
    178,416x = 150,494,340,096
  5. Step 5: Solve for x
    x = 150,494,340,096/178,416
  6. Step 6: Final answer
    x = 843,502.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.