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Finding the Third Proportional to 172,145 and 372,876

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Solution

The third proportional to 172,145 and 372,876 is: 807,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,145 : 372,876 = 372,876 : x
  2. Step 2: Convert to fraction form
    172,145/372,876 = 372,876/x
  3. Step 3: Cross multiply
    172,145x = 372,876 × 372,876
  4. Step 4: Simplify right side
    172,145x = 139,036,511,376
  5. Step 5: Solve for x
    x = 139,036,511,376/172,145
  6. Step 6: Final answer
    x = 807,670.92

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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.