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Finding the Third Proportional to 355,021 and 764,171

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Solution

The third proportional to 355,021 and 764,171 is: 1,644,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,021 : 764,171 = 764,171 : x
  2. Step 2: Convert to fraction form
    355,021/764,171 = 764,171/x
  3. Step 3: Cross multiply
    355,021x = 764,171 × 764,171
  4. Step 4: Simplify right side
    355,021x = 583,957,317,241
  5. Step 5: Solve for x
    x = 583,957,317,241/355,021
  6. Step 6: Final answer
    x = 1,644,852.89

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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.