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Finding the Third Proportional to 271,950 and 391,689

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Solution

The third proportional to 271,950 and 391,689 is: 564,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,950 : 391,689 = 391,689 : x
  2. Step 2: Convert to fraction form
    271,950/391,689 = 391,689/x
  3. Step 3: Cross multiply
    271,950x = 391,689 × 391,689
  4. Step 4: Simplify right side
    271,950x = 153,420,272,721
  5. Step 5: Solve for x
    x = 153,420,272,721/271,950
  6. Step 6: Final answer
    x = 564,148.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.