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Finding the Third Proportional to 181,563 and 398,964

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Solution

The third proportional to 181,563 and 398,964 is: 876,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,563 : 398,964 = 398,964 : x
  2. Step 2: Convert to fraction form
    181,563/398,964 = 398,964/x
  3. Step 3: Cross multiply
    181,563x = 398,964 × 398,964
  4. Step 4: Simplify right side
    181,563x = 159,172,273,296
  5. Step 5: Solve for x
    x = 159,172,273,296/181,563
  6. Step 6: Final answer
    x = 876,677.92

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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.