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Finding the Third Proportional to 133,365 and 204,502

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Solution

The third proportional to 133,365 and 204,502 is: 313,583.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,365 : 204,502 = 204,502 : x
  2. Step 2: Convert to fraction form
    133,365/204,502 = 204,502/x
  3. Step 3: Cross multiply
    133,365x = 204,502 × 204,502
  4. Step 4: Simplify right side
    133,365x = 41,821,068,004
  5. Step 5: Solve for x
    x = 41,821,068,004/133,365
  6. Step 6: Final answer
    x = 313,583.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.