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Finding the Third Proportional to 393,147.42 and 859,889.67

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Solution

The third proportional to 393,147.42 and 859,889.67 is: 1,880,745.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,147.42 : 859,889.67 = 859,889.67 : x
  2. Step 2: Convert to fraction form
    393,147.42/859,889.67 = 859,889.67/x
  3. Step 3: Cross multiply
    393,147.42x = 859,889.67 × 859,889.67
  4. Step 4: Simplify right side
    393,147.42x = 739,410,247,797.30
  5. Step 5: Solve for x
    x = 739,410,247,797.30/393,147.42
  6. Step 6: Final answer
    x = 1,880,745.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.