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Finding the Third Proportional to 8,815.50 and 13,385

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Solution

The third proportional to 8,815.50 and 13,385 is: 20,323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,815.50 : 13,385 = 13,385 : x
  2. Step 2: Convert to fraction form
    8,815.50/13,385 = 13,385/x
  3. Step 3: Cross multiply
    8,815.50x = 13,385 × 13,385
  4. Step 4: Simplify right side
    8,815.50x = 179,158,225
  5. Step 5: Solve for x
    x = 179,158,225/8,815.50
  6. Step 6: Final answer
    x = 20,323.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.