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Finding the Third Proportional to 66,879 and 107,537.63

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Solution

The third proportional to 66,879 and 107,537.63 is: 172,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,879 : 107,537.63 = 107,537.63 : x
  2. Step 2: Convert to fraction form
    66,879/107,537.63 = 107,537.63/x
  3. Step 3: Cross multiply
    66,879x = 107,537.63 × 107,537.63
  4. Step 4: Simplify right side
    66,879x = 11,564,340,790.64
  5. Step 5: Solve for x
    x = 11,564,340,790.64/66,879
  6. Step 6: Final answer
    x = 172,914.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.