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Finding the Third Proportional to 81,269.63 and 107,836.13

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Solution

The third proportional to 81,269.63 and 107,836.13 is: 143,087.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,269.63 : 107,836.13 = 107,836.13 : x
  2. Step 2: Convert to fraction form
    81,269.63/107,836.13 = 107,836.13/x
  3. Step 3: Cross multiply
    81,269.63x = 107,836.13 × 107,836.13
  4. Step 4: Simplify right side
    81,269.63x = 11,628,629,855.02
  5. Step 5: Solve for x
    x = 11,628,629,855.02/81,269.63
  6. Step 6: Final answer
    x = 143,087.04

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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.