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Finding the Third Proportional to 193,231.13 and 306,640.69

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Solution

The third proportional to 193,231.13 and 306,640.69 is: 486,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,231.13 : 306,640.69 = 306,640.69 : x
  2. Step 2: Convert to fraction form
    193,231.13/306,640.69 = 306,640.69/x
  3. Step 3: Cross multiply
    193,231.13x = 306,640.69 × 306,640.69
  4. Step 4: Simplify right side
    193,231.13x = 94,028,511,230.47
  5. Step 5: Solve for x
    x = 94,028,511,230.47/193,231.13
  6. Step 6: Final answer
    x = 486,611.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.