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Finding the Third Proportional to 172,593 and 374,778

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Solution

The third proportional to 172,593 and 374,778 is: 813,813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,593 : 374,778 = 374,778 : x
  2. Step 2: Convert to fraction form
    172,593/374,778 = 374,778/x
  3. Step 3: Cross multiply
    172,593x = 374,778 × 374,778
  4. Step 4: Simplify right side
    172,593x = 140,458,549,284
  5. Step 5: Solve for x
    x = 140,458,549,284/172,593
  6. Step 6: Final answer
    x = 813,813.71

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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.