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Finding the Third Proportional to 18,978 and 28,313.63

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Solution

The third proportional to 18,978 and 28,313.63 is: 42,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978 : 28,313.63 = 28,313.63 : x
  2. Step 2: Convert to fraction form
    18,978/28,313.63 = 28,313.63/x
  3. Step 3: Cross multiply
    18,978x = 28,313.63 × 28,313.63
  4. Step 4: Simplify right side
    18,978x = 801,661,360.64
  5. Step 5: Solve for x
    x = 801,661,360.64/18,978
  6. Step 6: Final answer
    x = 42,241.61

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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.