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Finding the Third Proportional to 13,909.50 and 20,988

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Solution

The third proportional to 13,909.50 and 20,988 is: 31,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.50 : 20,988 = 20,988 : x
  2. Step 2: Convert to fraction form
    13,909.50/20,988 = 20,988/x
  3. Step 3: Cross multiply
    13,909.50x = 20,988 × 20,988
  4. Step 4: Simplify right side
    13,909.50x = 440,496,144
  5. Step 5: Solve for x
    x = 440,496,144/13,909.50
  6. Step 6: Final answer
    x = 31,668.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.