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Finding the Third Proportional to 138,562 and 198,147

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Solution

The third proportional to 138,562 and 198,147 is: 283,354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,562 : 198,147 = 198,147 : x
  2. Step 2: Convert to fraction form
    138,562/198,147 = 198,147/x
  3. Step 3: Cross multiply
    138,562x = 198,147 × 198,147
  4. Step 4: Simplify right side
    138,562x = 39,262,233,609
  5. Step 5: Solve for x
    x = 39,262,233,609/138,562
  6. Step 6: Final answer
    x = 283,354.99

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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.