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Finding the Third Proportional to 100,388.25 and 161,436.38

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Solution

The third proportional to 100,388.25 and 161,436.38 is: 259,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,388.25 : 161,436.38 = 161,436.38 : x
  2. Step 2: Convert to fraction form
    100,388.25/161,436.38 = 161,436.38/x
  3. Step 3: Cross multiply
    100,388.25x = 161,436.38 × 161,436.38
  4. Step 4: Simplify right side
    100,388.25x = 26,061,703,173.14
  5. Step 5: Solve for x
    x = 26,061,703,173.14/100,388.25
  6. Step 6: Final answer
    x = 259,609.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.