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Finding the Third Proportional to 133,104 and 201,042

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Solution

The third proportional to 133,104 and 201,042 is: 303,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,104 : 201,042 = 201,042 : x
  2. Step 2: Convert to fraction form
    133,104/201,042 = 201,042/x
  3. Step 3: Cross multiply
    133,104x = 201,042 × 201,042
  4. Step 4: Simplify right side
    133,104x = 40,417,885,764
  5. Step 5: Solve for x
    x = 40,417,885,764/133,104
  6. Step 6: Final answer
    x = 303,656.43

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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.