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Finding the Third Proportional to 115,135 and 161,903

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Solution

The third proportional to 115,135 and 161,903 is: 227,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,135 : 161,903 = 161,903 : x
  2. Step 2: Convert to fraction form
    115,135/161,903 = 161,903/x
  3. Step 3: Cross multiply
    115,135x = 161,903 × 161,903
  4. Step 4: Simplify right side
    115,135x = 26,212,581,409
  5. Step 5: Solve for x
    x = 26,212,581,409/115,135
  6. Step 6: Final answer
    x = 227,668.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.