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Finding the Third Proportional to 9,405.81 and 12,481.28

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Solution

The third proportional to 9,405.81 and 12,481.28 is: 16,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.81 : 12,481.28 = 12,481.28 : x
  2. Step 2: Convert to fraction form
    9,405.81/12,481.28 = 12,481.28/x
  3. Step 3: Cross multiply
    9,405.81x = 12,481.28 × 12,481.28
  4. Step 4: Simplify right side
    9,405.81x = 155,782,284.13
  5. Step 5: Solve for x
    x = 155,782,284.13/9,405.81
  6. Step 6: Final answer
    x = 16,562.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.