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Finding the Third Proportional to 133,839 and 195,729

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Solution

The third proportional to 133,839 and 195,729 is: 286,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,839 : 195,729 = 195,729 : x
  2. Step 2: Convert to fraction form
    133,839/195,729 = 195,729/x
  3. Step 3: Cross multiply
    133,839x = 195,729 × 195,729
  4. Step 4: Simplify right side
    133,839x = 38,309,841,441
  5. Step 5: Solve for x
    x = 38,309,841,441/133,839
  6. Step 6: Final answer
    x = 286,238.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.