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Finding the Third Proportional to 231,831 and 488,915

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Solution

The third proportional to 231,831 and 488,915 is: 1,031,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,831 : 488,915 = 488,915 : x
  2. Step 2: Convert to fraction form
    231,831/488,915 = 488,915/x
  3. Step 3: Cross multiply
    231,831x = 488,915 × 488,915
  4. Step 4: Simplify right side
    231,831x = 239,037,877,225
  5. Step 5: Solve for x
    x = 239,037,877,225/231,831
  6. Step 6: Final answer
    x = 1,031,086.77

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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.