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Finding the Third Proportional to 172,990 and 372,644

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Solution

The third proportional to 172,990 and 372,644 is: 802,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,990 : 372,644 = 372,644 : x
  2. Step 2: Convert to fraction form
    172,990/372,644 = 372,644/x
  3. Step 3: Cross multiply
    172,990x = 372,644 × 372,644
  4. Step 4: Simplify right side
    172,990x = 138,863,550,736
  5. Step 5: Solve for x
    x = 138,863,550,736/172,990
  6. Step 6: Final answer
    x = 802,725.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.