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Finding the Third Proportional to 82,036 and 120,750

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Solution

The third proportional to 82,036 and 120,750 is: 177,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,036 : 120,750 = 120,750 : x
  2. Step 2: Convert to fraction form
    82,036/120,750 = 120,750/x
  3. Step 3: Cross multiply
    82,036x = 120,750 × 120,750
  4. Step 4: Simplify right side
    82,036x = 14,580,562,500
  5. Step 5: Solve for x
    x = 14,580,562,500/82,036
  6. Step 6: Final answer
    x = 177,733.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.