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Finding the Third Proportional to 180,879.75 and 393,903

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Solution

The third proportional to 180,879.75 and 393,903 is: 857,805.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,879.75 : 393,903 = 393,903 : x
  2. Step 2: Convert to fraction form
    180,879.75/393,903 = 393,903/x
  3. Step 3: Cross multiply
    180,879.75x = 393,903 × 393,903
  4. Step 4: Simplify right side
    180,879.75x = 155,159,573,409
  5. Step 5: Solve for x
    x = 155,159,573,409/180,879.75
  6. Step 6: Final answer
    x = 857,805.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.