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Finding the Third Proportional to 13,305 and 20,230.88

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Solution

The third proportional to 13,305 and 20,230.88 is: 30,761.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,305 : 20,230.88 = 20,230.88 : x
  2. Step 2: Convert to fraction form
    13,305/20,230.88 = 20,230.88/x
  3. Step 3: Cross multiply
    13,305x = 20,230.88 × 20,230.88
  4. Step 4: Simplify right side
    13,305x = 409,288,303.27
  5. Step 5: Solve for x
    x = 409,288,303.27/13,305
  6. Step 6: Final answer
    x = 30,761.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.