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Finding the Third Proportional to 15,245 and 33,405

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Solution

The third proportional to 15,245 and 33,405 is: 73,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,245 : 33,405 = 33,405 : x
  2. Step 2: Convert to fraction form
    15,245/33,405 = 33,405/x
  3. Step 3: Cross multiply
    15,245x = 33,405 × 33,405
  4. Step 4: Simplify right side
    15,245x = 1,115,894,025
  5. Step 5: Solve for x
    x = 1,115,894,025/15,245
  6. Step 6: Final answer
    x = 73,197.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.