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Finding the Third Proportional to 12,382.88 and 20,316.94

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Solution

The third proportional to 12,382.88 and 20,316.94 is: 33,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.88 : 20,316.94 = 20,316.94 : x
  2. Step 2: Convert to fraction form
    12,382.88/20,316.94 = 20,316.94/x
  3. Step 3: Cross multiply
    12,382.88x = 20,316.94 × 20,316.94
  4. Step 4: Simplify right side
    12,382.88x = 412,777,949.38
  5. Step 5: Solve for x
    x = 412,777,949.38/12,382.88
  6. Step 6: Final answer
    x = 33,334.58

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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.