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Finding the Third Proportional to 133,615 and 199,773

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Solution

The third proportional to 133,615 and 199,773 is: 298,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,615 : 199,773 = 199,773 : x
  2. Step 2: Convert to fraction form
    133,615/199,773 = 199,773/x
  3. Step 3: Cross multiply
    133,615x = 199,773 × 199,773
  4. Step 4: Simplify right side
    133,615x = 39,909,251,529
  5. Step 5: Solve for x
    x = 39,909,251,529/133,615
  6. Step 6: Final answer
    x = 298,688.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.