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Finding the Third Proportional to 20,529 and 31,413

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Solution

The third proportional to 20,529 and 31,413 is: 48,067.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,529 : 31,413 = 31,413 : x
  2. Step 2: Convert to fraction form
    20,529/31,413 = 31,413/x
  3. Step 3: Cross multiply
    20,529x = 31,413 × 31,413
  4. Step 4: Simplify right side
    20,529x = 986,776,569
  5. Step 5: Solve for x
    x = 986,776,569/20,529
  6. Step 6: Final answer
    x = 48,067.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.