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Finding the Third Proportional to 133,561 and 190,979

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Solution

The third proportional to 133,561 and 190,979 is: 273,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,561 : 190,979 = 190,979 : x
  2. Step 2: Convert to fraction form
    133,561/190,979 = 190,979/x
  3. Step 3: Cross multiply
    133,561x = 190,979 × 190,979
  4. Step 4: Simplify right side
    133,561x = 36,472,978,441
  5. Step 5: Solve for x
    x = 36,472,978,441/133,561
  6. Step 6: Final answer
    x = 273,081.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.