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Finding the Third Proportional to 8,613.50 and 13,205

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Solution

The third proportional to 8,613.50 and 13,205 is: 20,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.50 : 13,205 = 13,205 : x
  2. Step 2: Convert to fraction form
    8,613.50/13,205 = 13,205/x
  3. Step 3: Cross multiply
    8,613.50x = 13,205 × 13,205
  4. Step 4: Simplify right side
    8,613.50x = 174,372,025
  5. Step 5: Solve for x
    x = 174,372,025/8,613.50
  6. Step 6: Final answer
    x = 20,244.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.