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Finding the Third Proportional to 66,821 and 102,751

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Solution

The third proportional to 66,821 and 102,751 is: 158,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,821 : 102,751 = 102,751 : x
  2. Step 2: Convert to fraction form
    66,821/102,751 = 102,751/x
  3. Step 3: Cross multiply
    66,821x = 102,751 × 102,751
  4. Step 4: Simplify right side
    66,821x = 10,557,768,001
  5. Step 5: Solve for x
    x = 10,557,768,001/66,821
  6. Step 6: Final answer
    x = 158,000.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.