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Finding the Third Proportional to 13,418.16 and 20,480.34

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Solution

The third proportional to 13,418.16 and 20,480.34 is: 31,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,418.16 : 20,480.34 = 20,480.34 : x
  2. Step 2: Convert to fraction form
    13,418.16/20,480.34 = 20,480.34/x
  3. Step 3: Cross multiply
    13,418.16x = 20,480.34 × 20,480.34
  4. Step 4: Simplify right side
    13,418.16x = 419,444,480.12
  5. Step 5: Solve for x
    x = 419,444,480.12/13,418.16
  6. Step 6: Final answer
    x = 31,259.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.