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Finding the Third Proportional to 81,260 and 171,390

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Solution

The third proportional to 81,260 and 171,390 is: 361,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,260 : 171,390 = 171,390 : x
  2. Step 2: Convert to fraction form
    81,260/171,390 = 171,390/x
  3. Step 3: Cross multiply
    81,260x = 171,390 × 171,390
  4. Step 4: Simplify right side
    81,260x = 29,374,532,100
  5. Step 5: Solve for x
    x = 29,374,532,100/81,260
  6. Step 6: Final answer
    x = 361,488.21

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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.