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Finding the Third Proportional to 172,149 and 372,884

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Solution

The third proportional to 172,149 and 372,884 is: 807,686.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,149 : 372,884 = 372,884 : x
  2. Step 2: Convert to fraction form
    172,149/372,884 = 372,884/x
  3. Step 3: Cross multiply
    172,149x = 372,884 × 372,884
  4. Step 4: Simplify right side
    172,149x = 139,042,477,456
  5. Step 5: Solve for x
    x = 139,042,477,456/172,149
  6. Step 6: Final answer
    x = 807,686.81

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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.