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Finding the Third Proportional to 10,405.13 and 13,758.19

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Solution

The third proportional to 10,405.13 and 13,758.19 is: 18,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.13 : 13,758.19 = 13,758.19 : x
  2. Step 2: Convert to fraction form
    10,405.13/13,758.19 = 13,758.19/x
  3. Step 3: Cross multiply
    10,405.13x = 13,758.19 × 13,758.19
  4. Step 4: Simplify right side
    10,405.13x = 189,287,723.29
  5. Step 5: Solve for x
    x = 189,287,723.29/10,405.13
  6. Step 6: Final answer
    x = 18,191.78

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.