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Finding the Third Proportional to 172,675 and 353,910

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Solution

The third proportional to 172,675 and 353,910 is: 725,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,675 : 353,910 = 353,910 : x
  2. Step 2: Convert to fraction form
    172,675/353,910 = 353,910/x
  3. Step 3: Cross multiply
    172,675x = 353,910 × 353,910
  4. Step 4: Simplify right side
    172,675x = 125,252,288,100
  5. Step 5: Solve for x
    x = 125,252,288,100/172,675
  6. Step 6: Final answer
    x = 725,364.34

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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.