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Finding the Third Proportional to 5,421.75 and 11,218.13

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Solution

The third proportional to 5,421.75 and 11,218.13 is: 23,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.75 : 11,218.13 = 11,218.13 : x
  2. Step 2: Convert to fraction form
    5,421.75/11,218.13 = 11,218.13/x
  3. Step 3: Cross multiply
    5,421.75x = 11,218.13 × 11,218.13
  4. Step 4: Simplify right side
    5,421.75x = 125,846,328.52
  5. Step 5: Solve for x
    x = 125,846,328.52/5,421.75
  6. Step 6: Final answer
    x = 23,211.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.