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Finding the Third Proportional to 14,190.19 and 20,143.69

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Solution

The third proportional to 14,190.19 and 20,143.69 is: 28,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,190.19 : 20,143.69 = 20,143.69 : x
  2. Step 2: Convert to fraction form
    14,190.19/20,143.69 = 20,143.69/x
  3. Step 3: Cross multiply
    14,190.19x = 20,143.69 × 20,143.69
  4. Step 4: Simplify right side
    14,190.19x = 405,768,146.10
  5. Step 5: Solve for x
    x = 405,768,146.10/14,190.19
  6. Step 6: Final answer
    x = 28,594.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.