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Finding the Third Proportional to 82,245 and 123,036.75

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Solution

The third proportional to 82,245 and 123,036.75 is: 184,060.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,245 : 123,036.75 = 123,036.75 : x
  2. Step 2: Convert to fraction form
    82,245/123,036.75 = 123,036.75/x
  3. Step 3: Cross multiply
    82,245x = 123,036.75 × 123,036.75
  4. Step 4: Simplify right side
    82,245x = 15,138,041,850.56
  5. Step 5: Solve for x
    x = 15,138,041,850.56/82,245
  6. Step 6: Final answer
    x = 184,060.33

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