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Finding the Third Proportional to 354,986 and 764,100

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Solution

The third proportional to 354,986 and 764,100 is: 1,644,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,986 : 764,100 = 764,100 : x
  2. Step 2: Convert to fraction form
    354,986/764,100 = 764,100/x
  3. Step 3: Cross multiply
    354,986x = 764,100 × 764,100
  4. Step 4: Simplify right side
    354,986x = 583,848,810,000
  5. Step 5: Solve for x
    x = 583,848,810,000/354,986
  6. Step 6: Final answer
    x = 1,644,709.40

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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.