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Finding the Third Proportional to 133,076 and 200,996

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Solution

The third proportional to 133,076 and 200,996 is: 303,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,076 : 200,996 = 200,996 : x
  2. Step 2: Convert to fraction form
    133,076/200,996 = 200,996/x
  3. Step 3: Cross multiply
    133,076x = 200,996 × 200,996
  4. Step 4: Simplify right side
    133,076x = 40,399,392,016
  5. Step 5: Solve for x
    x = 40,399,392,016/133,076
  6. Step 6: Final answer
    x = 303,581.35

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