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Finding the Third Proportional to 179,739 and 387,126

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Solution

The third proportional to 179,739 and 387,126 is: 833,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,739 : 387,126 = 387,126 : x
  2. Step 2: Convert to fraction form
    179,739/387,126 = 387,126/x
  3. Step 3: Cross multiply
    179,739x = 387,126 × 387,126
  4. Step 4: Simplify right side
    179,739x = 149,866,539,876
  5. Step 5: Solve for x
    x = 149,866,539,876/179,739
  6. Step 6: Final answer
    x = 833,800.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.