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Finding the Third Proportional to 82,180 and 170,677

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Solution

The third proportional to 82,180 and 170,677 is: 354,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,180 : 170,677 = 170,677 : x
  2. Step 2: Convert to fraction form
    82,180/170,677 = 170,677/x
  3. Step 3: Cross multiply
    82,180x = 170,677 × 170,677
  4. Step 4: Simplify right side
    82,180x = 29,130,638,329
  5. Step 5: Solve for x
    x = 29,130,638,329/82,180
  6. Step 6: Final answer
    x = 354,473.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.