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Finding the Third Proportional to 85,122 and 172,676

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Solution

The third proportional to 85,122 and 172,676 is: 350,285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,122 : 172,676 = 172,676 : x
  2. Step 2: Convert to fraction form
    85,122/172,676 = 172,676/x
  3. Step 3: Cross multiply
    85,122x = 172,676 × 172,676
  4. Step 4: Simplify right side
    85,122x = 29,817,000,976
  5. Step 5: Solve for x
    x = 29,817,000,976/85,122
  6. Step 6: Final answer
    x = 350,285.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.