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Finding the Third Proportional to 18,705.75 and 40,378.88

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Solution

The third proportional to 18,705.75 and 40,378.88 is: 87,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,705.75 : 40,378.88 = 40,378.88 : x
  2. Step 2: Convert to fraction form
    18,705.75/40,378.88 = 40,378.88/x
  3. Step 3: Cross multiply
    18,705.75x = 40,378.88 × 40,378.88
  4. Step 4: Simplify right side
    18,705.75x = 1,630,453,546.27
  5. Step 5: Solve for x
    x = 1,630,453,546.27/18,705.75
  6. Step 6: Final answer
    x = 87,163.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.