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Finding the Third Proportional to 13,321.50 and 20,910

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Solution

The third proportional to 13,321.50 and 20,910 is: 32,821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,321.50 : 20,910 = 20,910 : x
  2. Step 2: Convert to fraction form
    13,321.50/20,910 = 20,910/x
  3. Step 3: Cross multiply
    13,321.50x = 20,910 × 20,910
  4. Step 4: Simplify right side
    13,321.50x = 437,228,100
  5. Step 5: Solve for x
    x = 437,228,100/13,321.50
  6. Step 6: Final answer
    x = 32,821.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.