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Finding the Third Proportional to 13,416.73 and 20,125.10

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Solution

The third proportional to 13,416.73 and 20,125.10 is: 30,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.73 : 20,125.10 = 20,125.10 : x
  2. Step 2: Convert to fraction form
    13,416.73/20,125.10 = 20,125.10/x
  3. Step 3: Cross multiply
    13,416.73x = 20,125.10 × 20,125.10
  4. Step 4: Simplify right side
    13,416.73x = 405,019,594.98
  5. Step 5: Solve for x
    x = 405,019,594.98/13,416.73
  6. Step 6: Final answer
    x = 30,187.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.