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Finding the Third Proportional to 231,829 and 488,911

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Solution

The third proportional to 231,829 and 488,911 is: 1,031,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,829 : 488,911 = 488,911 : x
  2. Step 2: Convert to fraction form
    231,829/488,911 = 488,911/x
  3. Step 3: Cross multiply
    231,829x = 488,911 × 488,911
  4. Step 4: Simplify right side
    231,829x = 239,033,965,921
  5. Step 5: Solve for x
    x = 239,033,965,921/231,829
  6. Step 6: Final answer
    x = 1,031,078.79

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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.