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Finding the Third Proportional to 231,800 and 488,923

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Solution

The third proportional to 231,800 and 488,923 is: 1,031,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,800 : 488,923 = 488,923 : x
  2. Step 2: Convert to fraction form
    231,800/488,923 = 488,923/x
  3. Step 3: Cross multiply
    231,800x = 488,923 × 488,923
  4. Step 4: Simplify right side
    231,800x = 239,045,699,929
  5. Step 5: Solve for x
    x = 239,045,699,929/231,800
  6. Step 6: Final answer
    x = 1,031,258.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.