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Finding the Third Proportional to 13,610.75 and 20,416.25

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Solution

The third proportional to 13,610.75 and 20,416.25 is: 30,624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,610.75 : 20,416.25 = 20,416.25 : x
  2. Step 2: Convert to fraction form
    13,610.75/20,416.25 = 20,416.25/x
  3. Step 3: Cross multiply
    13,610.75x = 20,416.25 × 20,416.25
  4. Step 4: Simplify right side
    13,610.75x = 416,823,264.06
  5. Step 5: Solve for x
    x = 416,823,264.06/13,610.75
  6. Step 6: Final answer
    x = 30,624.56

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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.