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Finding the Third Proportional to 13,719.50 and 20,498

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Solution

The third proportional to 13,719.50 and 20,498 is: 30,625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719.50 : 20,498 = 20,498 : x
  2. Step 2: Convert to fraction form
    13,719.50/20,498 = 20,498/x
  3. Step 3: Cross multiply
    13,719.50x = 20,498 × 20,498
  4. Step 4: Simplify right side
    13,719.50x = 420,168,004
  5. Step 5: Solve for x
    x = 420,168,004/13,719.50
  6. Step 6: Final answer
    x = 30,625.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.