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Finding the Third Proportional to 7,489.13 and 10,788.19

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Solution

The third proportional to 7,489.13 and 10,788.19 is: 15,540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.13 : 10,788.19 = 10,788.19 : x
  2. Step 2: Convert to fraction form
    7,489.13/10,788.19 = 10,788.19/x
  3. Step 3: Cross multiply
    7,489.13x = 10,788.19 × 10,788.19
  4. Step 4: Simplify right side
    7,489.13x = 116,384,989.54
  5. Step 5: Solve for x
    x = 116,384,989.54/7,489.13
  6. Step 6: Final answer
    x = 15,540.53

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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.