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Finding the Third Proportional to 179,934 and 387,948

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Solution

The third proportional to 179,934 and 387,948 is: 836,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,934 : 387,948 = 387,948 : x
  2. Step 2: Convert to fraction form
    179,934/387,948 = 387,948/x
  3. Step 3: Cross multiply
    179,934x = 387,948 × 387,948
  4. Step 4: Simplify right side
    179,934x = 150,503,650,704
  5. Step 5: Solve for x
    x = 150,503,650,704/179,934
  6. Step 6: Final answer
    x = 836,438.09

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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.