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Finding the Third Proportional to 84,512 and 172,912

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Solution

The third proportional to 84,512 and 172,912 is: 353,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,512 : 172,912 = 172,912 : x
  2. Step 2: Convert to fraction form
    84,512/172,912 = 172,912/x
  3. Step 3: Cross multiply
    84,512x = 172,912 × 172,912
  4. Step 4: Simplify right side
    84,512x = 29,898,559,744
  5. Step 5: Solve for x
    x = 29,898,559,744/84,512
  6. Step 6: Final answer
    x = 353,778.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.