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Finding the Third Proportional to 18,978.75 and 28,314.75

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Solution

The third proportional to 18,978.75 and 28,314.75 is: 42,243.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978.75 : 28,314.75 = 28,314.75 : x
  2. Step 2: Convert to fraction form
    18,978.75/28,314.75 = 28,314.75/x
  3. Step 3: Cross multiply
    18,978.75x = 28,314.75 × 28,314.75
  4. Step 4: Simplify right side
    18,978.75x = 801,725,067.56
  5. Step 5: Solve for x
    x = 801,725,067.56/18,978.75
  6. Step 6: Final answer
    x = 42,243.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.