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Finding the Third Proportional to 50,450 and 81,288

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Solution

The third proportional to 50,450 and 81,288 is: 130,975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,450 : 81,288 = 81,288 : x
  2. Step 2: Convert to fraction form
    50,450/81,288 = 81,288/x
  3. Step 3: Cross multiply
    50,450x = 81,288 × 81,288
  4. Step 4: Simplify right side
    50,450x = 6,607,738,944
  5. Step 5: Solve for x
    x = 6,607,738,944/50,450
  6. Step 6: Final answer
    x = 130,975.99

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.