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Finding the Third Proportional to 138,517 and 214,903

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Solution

The third proportional to 138,517 and 214,903 is: 333,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,517 : 214,903 = 214,903 : x
  2. Step 2: Convert to fraction form
    138,517/214,903 = 214,903/x
  3. Step 3: Cross multiply
    138,517x = 214,903 × 214,903
  4. Step 4: Simplify right side
    138,517x = 46,183,299,409
  5. Step 5: Solve for x
    x = 46,183,299,409/138,517
  6. Step 6: Final answer
    x = 333,412.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.