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Finding the Third Proportional to 133,042 and 200,946

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Solution

The third proportional to 133,042 and 200,946 is: 303,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,042 : 200,946 = 200,946 : x
  2. Step 2: Convert to fraction form
    133,042/200,946 = 200,946/x
  3. Step 3: Cross multiply
    133,042x = 200,946 × 200,946
  4. Step 4: Simplify right side
    133,042x = 40,379,294,916
  5. Step 5: Solve for x
    x = 40,379,294,916/133,042
  6. Step 6: Final answer
    x = 303,507.88

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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.