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Finding the Third Proportional to 66,774 and 103,185

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Solution

The third proportional to 66,774 and 103,185 is: 159,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,774 : 103,185 = 103,185 : x
  2. Step 2: Convert to fraction form
    66,774/103,185 = 103,185/x
  3. Step 3: Cross multiply
    66,774x = 103,185 × 103,185
  4. Step 4: Simplify right side
    66,774x = 10,647,144,225
  5. Step 5: Solve for x
    x = 10,647,144,225/66,774
  6. Step 6: Final answer
    x = 159,450.45

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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.