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Finding the Third Proportional to 7,489.88 and 10,789.13

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Solution

The third proportional to 7,489.88 and 10,789.13 is: 15,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.88 : 10,789.13 = 10,789.13 : x
  2. Step 2: Convert to fraction form
    7,489.88/10,789.13 = 10,789.13/x
  3. Step 3: Cross multiply
    7,489.88x = 10,789.13 × 10,789.13
  4. Step 4: Simplify right side
    7,489.88x = 116,405,218.27
  5. Step 5: Solve for x
    x = 116,405,218.27/7,489.88
  6. Step 6: Final answer
    x = 15,541.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.