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Finding the Third Proportional to 30,195 and 66,116

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Solution

The third proportional to 30,195 and 66,116 is: 144,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,195 : 66,116 = 66,116 : x
  2. Step 2: Convert to fraction form
    30,195/66,116 = 66,116/x
  3. Step 3: Cross multiply
    30,195x = 66,116 × 66,116
  4. Step 4: Simplify right side
    30,195x = 4,371,325,456
  5. Step 5: Solve for x
    x = 4,371,325,456/30,195
  6. Step 6: Final answer
    x = 144,769.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.