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Finding the Third Proportional to 66,718 and 103,193

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Solution

The third proportional to 66,718 and 103,193 is: 159,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,718 : 103,193 = 103,193 : x
  2. Step 2: Convert to fraction form
    66,718/103,193 = 103,193/x
  3. Step 3: Cross multiply
    66,718x = 103,193 × 103,193
  4. Step 4: Simplify right side
    66,718x = 10,648,795,249
  5. Step 5: Solve for x
    x = 10,648,795,249/66,718
  6. Step 6: Final answer
    x = 159,609.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.