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Finding the Third Proportional to 11,019.38 and 23,830.88

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Solution

The third proportional to 11,019.38 and 23,830.88 is: 51,537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,019.38 : 23,830.88 = 23,830.88 : x
  2. Step 2: Convert to fraction form
    11,019.38/23,830.88 = 23,830.88/x
  3. Step 3: Cross multiply
    11,019.38x = 23,830.88 × 23,830.88
  4. Step 4: Simplify right side
    11,019.38x = 567,910,603.27
  5. Step 5: Solve for x
    x = 567,910,603.27/11,019.38
  6. Step 6: Final answer
    x = 51,537.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.