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Finding the Third Proportional to 218,286.75 and 468,466.50

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Solution

The third proportional to 218,286.75 and 468,466.50 is: 1,005,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,286.75 : 468,466.50 = 468,466.50 : x
  2. Step 2: Convert to fraction form
    218,286.75/468,466.50 = 468,466.50/x
  3. Step 3: Cross multiply
    218,286.75x = 468,466.50 × 468,466.50
  4. Step 4: Simplify right side
    218,286.75x = 219,460,861,622.25
  5. Step 5: Solve for x
    x = 219,460,861,622.25/218,286.75
  6. Step 6: Final answer
    x = 1,005,378.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.