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Finding the Third Proportional to 133,035 and 199,546

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Solution

The third proportional to 133,035 and 199,546 is: 299,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,035 : 199,546 = 199,546 : x
  2. Step 2: Convert to fraction form
    133,035/199,546 = 199,546/x
  3. Step 3: Cross multiply
    133,035x = 199,546 × 199,546
  4. Step 4: Simplify right side
    133,035x = 39,818,606,116
  5. Step 5: Solve for x
    x = 39,818,606,116/133,035
  6. Step 6: Final answer
    x = 299,309.25

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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.