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Finding the Third Proportional to 81,573 and 180,615

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Solution

The third proportional to 81,573 and 180,615 is: 399,909.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,573 : 180,615 = 180,615 : x
  2. Step 2: Convert to fraction form
    81,573/180,615 = 180,615/x
  3. Step 3: Cross multiply
    81,573x = 180,615 × 180,615
  4. Step 4: Simplify right side
    81,573x = 32,621,778,225
  5. Step 5: Solve for x
    x = 32,621,778,225/81,573
  6. Step 6: Final answer
    x = 399,909.02

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.