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Finding the Third Proportional to 81,516 and 171,880

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Solution

The third proportional to 81,516 and 171,880 is: 362,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,516 : 171,880 = 171,880 : x
  2. Step 2: Convert to fraction form
    81,516/171,880 = 171,880/x
  3. Step 3: Cross multiply
    81,516x = 171,880 × 171,880
  4. Step 4: Simplify right side
    81,516x = 29,542,734,400
  5. Step 5: Solve for x
    x = 29,542,734,400/81,516
  6. Step 6: Final answer
    x = 362,416.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.