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Finding the Third Proportional to 52,612 and 81,622

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Solution

The third proportional to 52,612 and 81,622 is: 126,627.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,612 : 81,622 = 81,622 : x
  2. Step 2: Convert to fraction form
    52,612/81,622 = 81,622/x
  3. Step 3: Cross multiply
    52,612x = 81,622 × 81,622
  4. Step 4: Simplify right side
    52,612x = 6,662,150,884
  5. Step 5: Solve for x
    x = 6,662,150,884/52,612
  6. Step 6: Final answer
    x = 126,627.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.