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Finding the Third Proportional to 81,268.88 and 107,835.19

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Solution

The third proportional to 81,268.88 and 107,835.19 is: 143,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,268.88 : 107,835.19 = 107,835.19 : x
  2. Step 2: Convert to fraction form
    81,268.88/107,835.19 = 107,835.19/x
  3. Step 3: Cross multiply
    81,268.88x = 107,835.19 × 107,835.19
  4. Step 4: Simplify right side
    81,268.88x = 11,628,427,663.16
  5. Step 5: Solve for x
    x = 11,628,427,663.16/81,268.88
  6. Step 6: Final answer
    x = 143,085.87

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.