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Finding the Third Proportional to 9,489.94 and 13,889.81

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Solution

The third proportional to 9,489.94 and 13,889.81 is: 20,329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.94 : 13,889.81 = 13,889.81 : x
  2. Step 2: Convert to fraction form
    9,489.94/13,889.81 = 13,889.81/x
  3. Step 3: Cross multiply
    9,489.94x = 13,889.81 × 13,889.81
  4. Step 4: Simplify right side
    9,489.94x = 192,926,891.29
  5. Step 5: Solve for x
    x = 192,926,891.29/9,489.94
  6. Step 6: Final answer
    x = 20,329.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.