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Finding the Third Proportional to 14,098 and 20,480.50

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Solution

The third proportional to 14,098 and 20,480.50 is: 29,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098 : 20,480.50 = 20,480.50 : x
  2. Step 2: Convert to fraction form
    14,098/20,480.50 = 20,480.50/x
  3. Step 3: Cross multiply
    14,098x = 20,480.50 × 20,480.50
  4. Step 4: Simplify right side
    14,098x = 419,450,880.25
  5. Step 5: Solve for x
    x = 419,450,880.25/14,098
  6. Step 6: Final answer
    x = 29,752.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.