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Finding the Third Proportional to 186,481.13 and 399,138.19

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Solution

The third proportional to 186,481.13 and 399,138.19 is: 854,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,481.13 : 399,138.19 = 399,138.19 : x
  2. Step 2: Convert to fraction form
    186,481.13/399,138.19 = 399,138.19/x
  3. Step 3: Cross multiply
    186,481.13x = 399,138.19 × 399,138.19
  4. Step 4: Simplify right side
    186,481.13x = 159,311,292,720.79
  5. Step 5: Solve for x
    x = 159,311,292,720.79/186,481.13
  6. Step 6: Final answer
    x = 854,302.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.