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Finding the Third Proportional to 61,833 and 133,266

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Solution

The third proportional to 61,833 and 133,266 is: 287,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,833 : 133,266 = 133,266 : x
  2. Step 2: Convert to fraction form
    61,833/133,266 = 133,266/x
  3. Step 3: Cross multiply
    61,833x = 133,266 × 133,266
  4. Step 4: Simplify right side
    61,833x = 17,759,826,756
  5. Step 5: Solve for x
    x = 17,759,826,756/61,833
  6. Step 6: Final answer
    x = 287,222.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.