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Finding the Third Proportional to 20,450 and 31,651

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Solution

The third proportional to 20,450 and 31,651 is: 48,987.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,450 : 31,651 = 31,651 : x
  2. Step 2: Convert to fraction form
    20,450/31,651 = 31,651/x
  3. Step 3: Cross multiply
    20,450x = 31,651 × 31,651
  4. Step 4: Simplify right side
    20,450x = 1,001,785,801
  5. Step 5: Solve for x
    x = 1,001,785,801/20,450
  6. Step 6: Final answer
    x = 48,987.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.