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Finding the Third Proportional to 172,235 and 253,249

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Solution

The third proportional to 172,235 and 253,249 is: 372,369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,235 : 253,249 = 253,249 : x
  2. Step 2: Convert to fraction form
    172,235/253,249 = 253,249/x
  3. Step 3: Cross multiply
    172,235x = 253,249 × 253,249
  4. Step 4: Simplify right side
    172,235x = 64,135,056,001
  5. Step 5: Solve for x
    x = 64,135,056,001/172,235
  6. Step 6: Final answer
    x = 372,369.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.