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Finding the Third Proportional to 81,884.25 and 178,993.13

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Solution

The third proportional to 81,884.25 and 178,993.13 is: 391,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,884.25 : 178,993.13 = 178,993.13 : x
  2. Step 2: Convert to fraction form
    81,884.25/178,993.13 = 178,993.13/x
  3. Step 3: Cross multiply
    81,884.25x = 178,993.13 × 178,993.13
  4. Step 4: Simplify right side
    81,884.25x = 32,038,538,797.27
  5. Step 5: Solve for x
    x = 32,038,538,797.27/81,884.25
  6. Step 6: Final answer
    x = 391,266.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.