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Finding the Third Proportional to 5,418.28 and 11,828.81

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Solution

The third proportional to 5,418.28 and 11,828.81 is: 25,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418.28 : 11,828.81 = 11,828.81 : x
  2. Step 2: Convert to fraction form
    5,418.28/11,828.81 = 11,828.81/x
  3. Step 3: Cross multiply
    5,418.28x = 11,828.81 × 11,828.81
  4. Step 4: Simplify right side
    5,418.28x = 139,920,805.16
  5. Step 5: Solve for x
    x = 139,920,805.16/5,418.28
  6. Step 6: Final answer
    x = 25,823.84

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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.