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Finding the Third Proportional to 39,036 and 57,825

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Solution

The third proportional to 39,036 and 57,825 is: 85,657.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,036 : 57,825 = 57,825 : x
  2. Step 2: Convert to fraction form
    39,036/57,825 = 57,825/x
  3. Step 3: Cross multiply
    39,036x = 57,825 × 57,825
  4. Step 4: Simplify right side
    39,036x = 3,343,730,625
  5. Step 5: Solve for x
    x = 3,343,730,625/39,036
  6. Step 6: Final answer
    x = 85,657.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.