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Finding the Third Proportional to 92,198 and 139,145

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Solution

The third proportional to 92,198 and 139,145 is: 209,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,198 : 139,145 = 139,145 : x
  2. Step 2: Convert to fraction form
    92,198/139,145 = 139,145/x
  3. Step 3: Cross multiply
    92,198x = 139,145 × 139,145
  4. Step 4: Simplify right side
    92,198x = 19,361,331,025
  5. Step 5: Solve for x
    x = 19,361,331,025/92,198
  6. Step 6: Final answer
    x = 209,997.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.