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Finding the Third Proportional to 138,694 and 203,104

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Solution

The third proportional to 138,694 and 203,104 is: 297,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,694 : 203,104 = 203,104 : x
  2. Step 2: Convert to fraction form
    138,694/203,104 = 203,104/x
  3. Step 3: Cross multiply
    138,694x = 203,104 × 203,104
  4. Step 4: Simplify right side
    138,694x = 41,251,234,816
  5. Step 5: Solve for x
    x = 41,251,234,816/138,694
  6. Step 6: Final answer
    x = 297,426.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.