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Finding the Third Proportional to 138,682 and 198,172

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Solution

The third proportional to 138,682 and 198,172 is: 283,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,682 : 198,172 = 198,172 : x
  2. Step 2: Convert to fraction form
    138,682/198,172 = 198,172/x
  3. Step 3: Cross multiply
    138,682x = 198,172 × 198,172
  4. Step 4: Simplify right side
    138,682x = 39,272,141,584
  5. Step 5: Solve for x
    x = 39,272,141,584/138,682
  6. Step 6: Final answer
    x = 283,181.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.