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Finding the Third Proportional to 5,428.69 and 11,809.13

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Solution

The third proportional to 5,428.69 and 11,809.13 is: 25,688.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.69 : 11,809.13 = 11,809.13 : x
  2. Step 2: Convert to fraction form
    5,428.69/11,809.13 = 11,809.13/x
  3. Step 3: Cross multiply
    5,428.69x = 11,809.13 × 11,809.13
  4. Step 4: Simplify right side
    5,428.69x = 139,455,433.27
  5. Step 5: Solve for x
    x = 139,455,433.27/5,428.69
  6. Step 6: Final answer
    x = 25,688.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.