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Finding the Third Proportional to 181,316 and 398,876

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Solution

The third proportional to 181,316 and 398,876 is: 877,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,316 : 398,876 = 398,876 : x
  2. Step 2: Convert to fraction form
    181,316/398,876 = 398,876/x
  3. Step 3: Cross multiply
    181,316x = 398,876 × 398,876
  4. Step 4: Simplify right side
    181,316x = 159,102,063,376
  5. Step 5: Solve for x
    x = 159,102,063,376/181,316
  6. Step 6: Final answer
    x = 877,484.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.