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Finding the Third Proportional to 113,708.81 and 177,843.09

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Solution

The third proportional to 113,708.81 and 177,843.09 is: 278,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,708.81 : 177,843.09 = 177,843.09 : x
  2. Step 2: Convert to fraction form
    113,708.81/177,843.09 = 177,843.09/x
  3. Step 3: Cross multiply
    113,708.81x = 177,843.09 × 177,843.09
  4. Step 4: Simplify right side
    113,708.81x = 31,628,165,994.57
  5. Step 5: Solve for x
    x = 31,628,165,994.57/113,708.81
  6. Step 6: Final answer
    x = 278,150.53

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.