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Finding the Third Proportional to 138,627 and 198,243

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Solution

The third proportional to 138,627 and 198,243 is: 283,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,627 : 198,243 = 198,243 : x
  2. Step 2: Convert to fraction form
    138,627/198,243 = 198,243/x
  3. Step 3: Cross multiply
    138,627x = 198,243 × 198,243
  4. Step 4: Simplify right side
    138,627x = 39,300,287,049
  5. Step 5: Solve for x
    x = 39,300,287,049/138,627
  6. Step 6: Final answer
    x = 283,496.63

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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.