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Finding the Third Proportional to 142,268 and 305,622

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Solution

The third proportional to 142,268 and 305,622 is: 656,541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,268 : 305,622 = 305,622 : x
  2. Step 2: Convert to fraction form
    142,268/305,622 = 305,622/x
  3. Step 3: Cross multiply
    142,268x = 305,622 × 305,622
  4. Step 4: Simplify right side
    142,268x = 93,404,806,884
  5. Step 5: Solve for x
    x = 93,404,806,884/142,268
  6. Step 6: Final answer
    x = 656,541.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.