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Finding the Third Proportional to 81,511 and 168,260

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Solution

The third proportional to 81,511 and 168,260 is: 347,332.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,511 : 168,260 = 168,260 : x
  2. Step 2: Convert to fraction form
    81,511/168,260 = 168,260/x
  3. Step 3: Cross multiply
    81,511x = 168,260 × 168,260
  4. Step 4: Simplify right side
    81,511x = 28,311,427,600
  5. Step 5: Solve for x
    x = 28,311,427,600/81,511
  6. Step 6: Final answer
    x = 347,332.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.