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Finding the Third Proportional to 81,012 and 121,245

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Solution

The third proportional to 81,012 and 121,245 is: 181,458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,012 : 121,245 = 121,245 : x
  2. Step 2: Convert to fraction form
    81,012/121,245 = 121,245/x
  3. Step 3: Cross multiply
    81,012x = 121,245 × 121,245
  4. Step 4: Simplify right side
    81,012x = 14,700,350,025
  5. Step 5: Solve for x
    x = 14,700,350,025/81,012
  6. Step 6: Final answer
    x = 181,458.92

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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.