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Finding the Third Proportional to 81,267.68 and 107,833.46

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Solution

The third proportional to 81,267.68 and 107,833.46 is: 143,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,267.68 : 107,833.46 = 107,833.46 : x
  2. Step 2: Convert to fraction form
    81,267.68/107,833.46 = 107,833.46/x
  3. Step 3: Cross multiply
    81,267.68x = 107,833.46 × 107,833.46
  4. Step 4: Simplify right side
    81,267.68x = 11,628,056,140.21
  5. Step 5: Solve for x
    x = 11,628,056,140.21/81,267.68
  6. Step 6: Final answer
    x = 143,083.40

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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.