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Finding the Third Proportional to 13,645.75 and 20,384.13

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Solution

The third proportional to 13,645.75 and 20,384.13 is: 30,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.75 : 20,384.13 = 20,384.13 : x
  2. Step 2: Convert to fraction form
    13,645.75/20,384.13 = 20,384.13/x
  3. Step 3: Cross multiply
    13,645.75x = 20,384.13 × 20,384.13
  4. Step 4: Simplify right side
    13,645.75x = 415,512,552.02
  5. Step 5: Solve for x
    x = 415,512,552.02/13,645.75
  6. Step 6: Final answer
    x = 30,449.96

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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.