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Finding the Third Proportional to 102,198 and 158,610

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Solution

The third proportional to 102,198 and 158,610 is: 246,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,198 : 158,610 = 158,610 : x
  2. Step 2: Convert to fraction form
    102,198/158,610 = 158,610/x
  3. Step 3: Cross multiply
    102,198x = 158,610 × 158,610
  4. Step 4: Simplify right side
    102,198x = 25,157,132,100
  5. Step 5: Solve for x
    x = 25,157,132,100/102,198
  6. Step 6: Final answer
    x = 246,160.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.