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Finding the Third Proportional to 8,405.75 and 13,014.75

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Solution

The third proportional to 8,405.75 and 13,014.75 is: 20,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.75 : 13,014.75 = 13,014.75 : x
  2. Step 2: Convert to fraction form
    8,405.75/13,014.75 = 13,014.75/x
  3. Step 3: Cross multiply
    8,405.75x = 13,014.75 × 13,014.75
  4. Step 4: Simplify right side
    8,405.75x = 169,383,717.56
  5. Step 5: Solve for x
    x = 169,383,717.56/8,405.75
  6. Step 6: Final answer
    x = 20,150.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.