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Finding the Third Proportional to 61,601 and 133,039

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Solution

The third proportional to 61,601 and 133,039 is: 287,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,601 : 133,039 = 133,039 : x
  2. Step 2: Convert to fraction form
    61,601/133,039 = 133,039/x
  3. Step 3: Cross multiply
    61,601x = 133,039 × 133,039
  4. Step 4: Simplify right side
    61,601x = 17,699,375,521
  5. Step 5: Solve for x
    x = 17,699,375,521/61,601
  6. Step 6: Final answer
    x = 287,322.86

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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.