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Finding the Third Proportional to 57,405.38 and 86,163.75

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Solution

The third proportional to 57,405.38 and 86,163.75 is: 129,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,405.38 : 86,163.75 = 86,163.75 : x
  2. Step 2: Convert to fraction form
    57,405.38/86,163.75 = 86,163.75/x
  3. Step 3: Cross multiply
    57,405.38x = 86,163.75 × 86,163.75
  4. Step 4: Simplify right side
    57,405.38x = 7,424,191,814.06
  5. Step 5: Solve for x
    x = 7,424,191,814.06/57,405.38
  6. Step 6: Final answer
    x = 129,329.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.