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Finding the Third Proportional to 69,622 and 147,181

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Solution

The third proportional to 69,622 and 147,181 is: 311,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,622 : 147,181 = 147,181 : x
  2. Step 2: Convert to fraction form
    69,622/147,181 = 147,181/x
  3. Step 3: Cross multiply
    69,622x = 147,181 × 147,181
  4. Step 4: Simplify right side
    69,622x = 21,662,246,761
  5. Step 5: Solve for x
    x = 21,662,246,761/69,622
  6. Step 6: Final answer
    x = 311,140.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.