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Finding the Third Proportional to 82,511 and 180,800

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Solution

The third proportional to 82,511 and 180,800 is: 396,173.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,511 : 180,800 = 180,800 : x
  2. Step 2: Convert to fraction form
    82,511/180,800 = 180,800/x
  3. Step 3: Cross multiply
    82,511x = 180,800 × 180,800
  4. Step 4: Simplify right side
    82,511x = 32,688,640,000
  5. Step 5: Solve for x
    x = 32,688,640,000/82,511
  6. Step 6: Final answer
    x = 396,173.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.