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Finding the Third Proportional to 6,486.75 and 10,405.13

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Solution

The third proportional to 6,486.75 and 10,405.13 is: 16,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.75 : 10,405.13 = 10,405.13 : x
  2. Step 2: Convert to fraction form
    6,486.75/10,405.13 = 10,405.13/x
  3. Step 3: Cross multiply
    6,486.75x = 10,405.13 × 10,405.13
  4. Step 4: Simplify right side
    6,486.75x = 108,266,626.27
  5. Step 5: Solve for x
    x = 108,266,626.27/6,486.75
  6. Step 6: Final answer
    x = 16,690.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.