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Finding the Third Proportional to 133,852 and 200,796

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Solution

The third proportional to 133,852 and 200,796 is: 301,221.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,852 : 200,796 = 200,796 : x
  2. Step 2: Convert to fraction form
    133,852/200,796 = 200,796/x
  3. Step 3: Cross multiply
    133,852x = 200,796 × 200,796
  4. Step 4: Simplify right side
    133,852x = 40,319,033,616
  5. Step 5: Solve for x
    x = 40,319,033,616/133,852
  6. Step 6: Final answer
    x = 301,221.00

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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.