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Finding the Third Proportional to 172,512.75 and 353,631

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Solution

The third proportional to 172,512.75 and 353,631 is: 724,902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,512.75 : 353,631 = 353,631 : x
  2. Step 2: Convert to fraction form
    172,512.75/353,631 = 353,631/x
  3. Step 3: Cross multiply
    172,512.75x = 353,631 × 353,631
  4. Step 4: Simplify right side
    172,512.75x = 125,054,884,161
  5. Step 5: Solve for x
    x = 125,054,884,161/172,512.75
  6. Step 6: Final answer
    x = 724,902.27

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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.