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Finding the Third Proportional to 122,157 and 186,868

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Solution

The third proportional to 122,157 and 186,868 is: 285,858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,157 : 186,868 = 186,868 : x
  2. Step 2: Convert to fraction form
    122,157/186,868 = 186,868/x
  3. Step 3: Cross multiply
    122,157x = 186,868 × 186,868
  4. Step 4: Simplify right side
    122,157x = 34,919,649,424
  5. Step 5: Solve for x
    x = 34,919,649,424/122,157
  6. Step 6: Final answer
    x = 285,858.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.