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Finding the Third Proportional to 12,557.25 and 18,998.44

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Solution

The third proportional to 12,557.25 and 18,998.44 is: 28,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.25 : 18,998.44 = 18,998.44 : x
  2. Step 2: Convert to fraction form
    12,557.25/18,998.44 = 18,998.44/x
  3. Step 3: Cross multiply
    12,557.25x = 18,998.44 × 18,998.44
  4. Step 4: Simplify right side
    12,557.25x = 360,940,627.44
  5. Step 5: Solve for x
    x = 360,940,627.44/12,557.25
  6. Step 6: Final answer
    x = 28,743.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.