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Finding the Third Proportional to 138,710 and 203,126

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Solution

The third proportional to 138,710 and 203,126 is: 297,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,710 : 203,126 = 203,126 : x
  2. Step 2: Convert to fraction form
    138,710/203,126 = 203,126/x
  3. Step 3: Cross multiply
    138,710x = 203,126 × 203,126
  4. Step 4: Simplify right side
    138,710x = 41,260,171,876
  5. Step 5: Solve for x
    x = 41,260,171,876/138,710
  6. Step 6: Final answer
    x = 297,456.36

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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.