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Finding the Third Proportional to 172,099 and 372,801

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Solution

The third proportional to 172,099 and 372,801 is: 807,561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,099 : 372,801 = 372,801 : x
  2. Step 2: Convert to fraction form
    172,099/372,801 = 372,801/x
  3. Step 3: Cross multiply
    172,099x = 372,801 × 372,801
  4. Step 4: Simplify right side
    172,099x = 138,980,585,601
  5. Step 5: Solve for x
    x = 138,980,585,601/172,099
  6. Step 6: Final answer
    x = 807,561.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.