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Finding the Third Proportional to 12,287.64 and 20,115.84

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Solution

The third proportional to 12,287.64 and 20,115.84 is: 32,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.64 : 20,115.84 = 20,115.84 : x
  2. Step 2: Convert to fraction form
    12,287.64/20,115.84 = 20,115.84/x
  3. Step 3: Cross multiply
    12,287.64x = 20,115.84 × 20,115.84
  4. Step 4: Simplify right side
    12,287.64x = 404,647,169.77
  5. Step 5: Solve for x
    x = 404,647,169.77/12,287.64
  6. Step 6: Final answer
    x = 32,931.24

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.