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Finding the Third Proportional to 13,693.50 and 20,555.44

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Solution

The third proportional to 13,693.50 and 20,555.44 is: 30,855.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.50 : 20,555.44 = 20,555.44 : x
  2. Step 2: Convert to fraction form
    13,693.50/20,555.44 = 20,555.44/x
  3. Step 3: Cross multiply
    13,693.50x = 20,555.44 × 20,555.44
  4. Step 4: Simplify right side
    13,693.50x = 422,526,010.82
  5. Step 5: Solve for x
    x = 422,526,010.82/13,693.50
  6. Step 6: Final answer
    x = 30,855.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.