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Finding the Third Proportional to 133,058 and 200,968

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Solution

The third proportional to 133,058 and 200,968 is: 303,537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,058 : 200,968 = 200,968 : x
  2. Step 2: Convert to fraction form
    133,058/200,968 = 200,968/x
  3. Step 3: Cross multiply
    133,058x = 200,968 × 200,968
  4. Step 4: Simplify right side
    133,058x = 40,388,137,024
  5. Step 5: Solve for x
    x = 40,388,137,024/133,058
  6. Step 6: Final answer
    x = 303,537.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.