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Finding the Third Proportional to 178,544 and 389,137

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Solution

The third proportional to 178,544 and 389,137 is: 848,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,544 : 389,137 = 389,137 : x
  2. Step 2: Convert to fraction form
    178,544/389,137 = 389,137/x
  3. Step 3: Cross multiply
    178,544x = 389,137 × 389,137
  4. Step 4: Simplify right side
    178,544x = 151,427,604,769
  5. Step 5: Solve for x
    x = 151,427,604,769/178,544
  6. Step 6: Final answer
    x = 848,124.86

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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.