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Finding the Third Proportional to 138,344 and 200,172

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Solution

The third proportional to 138,344 and 200,172 is: 289,631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,344 : 200,172 = 200,172 : x
  2. Step 2: Convert to fraction form
    138,344/200,172 = 200,172/x
  3. Step 3: Cross multiply
    138,344x = 200,172 × 200,172
  4. Step 4: Simplify right side
    138,344x = 40,068,829,584
  5. Step 5: Solve for x
    x = 40,068,829,584/138,344
  6. Step 6: Final answer
    x = 289,631.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.