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Finding the Third Proportional to 8,121.94 and 13,014.84

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Solution

The third proportional to 8,121.94 and 13,014.84 is: 20,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.94 : 13,014.84 = 13,014.84 : x
  2. Step 2: Convert to fraction form
    8,121.94/13,014.84 = 13,014.84/x
  3. Step 3: Cross multiply
    8,121.94x = 13,014.84 × 13,014.84
  4. Step 4: Simplify right side
    8,121.94x = 169,386,157.84
  5. Step 5: Solve for x
    x = 169,386,157.84/8,121.94
  6. Step 6: Final answer
    x = 20,855.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.