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Finding the Third Proportional to 30,669 and 66,177

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Solution

The third proportional to 30,669 and 66,177 is: 142,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,669 : 66,177 = 66,177 : x
  2. Step 2: Convert to fraction form
    30,669/66,177 = 66,177/x
  3. Step 3: Cross multiply
    30,669x = 66,177 × 66,177
  4. Step 4: Simplify right side
    30,669x = 4,379,395,329
  5. Step 5: Solve for x
    x = 4,379,395,329/30,669
  6. Step 6: Final answer
    x = 142,795.50

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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.