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Finding the Third Proportional to 178,950 and 389,868

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Solution

The third proportional to 178,950 and 389,868 is: 849,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,950 : 389,868 = 389,868 : x
  2. Step 2: Convert to fraction form
    178,950/389,868 = 389,868/x
  3. Step 3: Cross multiply
    178,950x = 389,868 × 389,868
  4. Step 4: Simplify right side
    178,950x = 151,997,057,424
  5. Step 5: Solve for x
    x = 151,997,057,424/178,950
  6. Step 6: Final answer
    x = 849,382.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.