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Finding the Third Proportional to 133,960 and 209,036

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Solution

The third proportional to 133,960 and 209,036 is: 326,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,960 : 209,036 = 209,036 : x
  2. Step 2: Convert to fraction form
    133,960/209,036 = 209,036/x
  3. Step 3: Cross multiply
    133,960x = 209,036 × 209,036
  4. Step 4: Simplify right side
    133,960x = 43,696,049,296
  5. Step 5: Solve for x
    x = 43,696,049,296/133,960
  6. Step 6: Final answer
    x = 326,187.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.