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Finding the Third Proportional to 120,356 and 187,198

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Solution

The third proportional to 120,356 and 187,198 is: 291,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,356 : 187,198 = 187,198 : x
  2. Step 2: Convert to fraction form
    120,356/187,198 = 187,198/x
  3. Step 3: Cross multiply
    120,356x = 187,198 × 187,198
  4. Step 4: Simplify right side
    120,356x = 35,043,091,204
  5. Step 5: Solve for x
    x = 35,043,091,204/120,356
  6. Step 6: Final answer
    x = 291,161.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.