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Finding the Third Proportional to 13,539 and 18,442.50

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Solution

The third proportional to 13,539 and 18,442.50 is: 25,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539 : 18,442.50 = 18,442.50 : x
  2. Step 2: Convert to fraction form
    13,539/18,442.50 = 18,442.50/x
  3. Step 3: Cross multiply
    13,539x = 18,442.50 × 18,442.50
  4. Step 4: Simplify right side
    13,539x = 340,125,806.25
  5. Step 5: Solve for x
    x = 340,125,806.25/13,539
  6. Step 6: Final answer
    x = 25,121.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.