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Finding the Third Proportional to 66,622 and 144,116

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Solution

The third proportional to 66,622 and 144,116 is: 311,750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,622 : 144,116 = 144,116 : x
  2. Step 2: Convert to fraction form
    66,622/144,116 = 144,116/x
  3. Step 3: Cross multiply
    66,622x = 144,116 × 144,116
  4. Step 4: Simplify right side
    66,622x = 20,769,421,456
  5. Step 5: Solve for x
    x = 20,769,421,456/66,622
  6. Step 6: Final answer
    x = 311,750.19

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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.