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Finding the Third Proportional to 5,189.85 and 11,129.35

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Solution

The third proportional to 5,189.85 and 11,129.35 is: 23,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.85 : 11,129.35 = 11,129.35 : x
  2. Step 2: Convert to fraction form
    5,189.85/11,129.35 = 11,129.35/x
  3. Step 3: Cross multiply
    5,189.85x = 11,129.35 × 11,129.35
  4. Step 4: Simplify right side
    5,189.85x = 123,862,487.94
  5. Step 5: Solve for x
    x = 123,862,487.94/5,189.85
  6. Step 6: Final answer
    x = 23,866.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.