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Finding the Third Proportional to 13,005 and 20,385

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Solution

The third proportional to 13,005 and 20,385 is: 31,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005 : 20,385 = 20,385 : x
  2. Step 2: Convert to fraction form
    13,005/20,385 = 20,385/x
  3. Step 3: Cross multiply
    13,005x = 20,385 × 20,385
  4. Step 4: Simplify right side
    13,005x = 415,548,225
  5. Step 5: Solve for x
    x = 415,548,225/13,005
  6. Step 6: Final answer
    x = 31,952.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.