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Finding the Third Proportional to 11,539.13 and 18,420.75

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Solution

The third proportional to 11,539.13 and 18,420.75 is: 29,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.13 : 18,420.75 = 18,420.75 : x
  2. Step 2: Convert to fraction form
    11,539.13/18,420.75 = 18,420.75/x
  3. Step 3: Cross multiply
    11,539.13x = 18,420.75 × 18,420.75
  4. Step 4: Simplify right side
    11,539.13x = 339,324,030.56
  5. Step 5: Solve for x
    x = 339,324,030.56/11,539.13
  6. Step 6: Final answer
    x = 29,406.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.