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Finding the Third Proportional to 81,134 and 121,025

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Solution

The third proportional to 81,134 and 121,025 is: 180,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,134 : 121,025 = 121,025 : x
  2. Step 2: Convert to fraction form
    81,134/121,025 = 121,025/x
  3. Step 3: Cross multiply
    81,134x = 121,025 × 121,025
  4. Step 4: Simplify right side
    81,134x = 14,647,050,625
  5. Step 5: Solve for x
    x = 14,647,050,625/81,134
  6. Step 6: Final answer
    x = 180,529.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.