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Finding the Third Proportional to 78,198 and 171,948

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Solution

The third proportional to 78,198 and 171,948 is: 378,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,198 : 171,948 = 171,948 : x
  2. Step 2: Convert to fraction form
    78,198/171,948 = 171,948/x
  3. Step 3: Cross multiply
    78,198x = 171,948 × 171,948
  4. Step 4: Simplify right side
    78,198x = 29,566,114,704
  5. Step 5: Solve for x
    x = 29,566,114,704/78,198
  6. Step 6: Final answer
    x = 378,092.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.