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Finding the Third Proportional to 133,561 and 190,980

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Solution

The third proportional to 133,561 and 190,980 is: 273,083.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,561 : 190,980 = 190,980 : x
  2. Step 2: Convert to fraction form
    133,561/190,980 = 190,980/x
  3. Step 3: Cross multiply
    133,561x = 190,980 × 190,980
  4. Step 4: Simplify right side
    133,561x = 36,473,360,400
  5. Step 5: Solve for x
    x = 36,473,360,400/133,561
  6. Step 6: Final answer
    x = 273,083.91

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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.