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Finding the Third Proportional to 138,622 and 300,552

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Solution

The third proportional to 138,622 and 300,552 is: 651,639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,622 : 300,552 = 300,552 : x
  2. Step 2: Convert to fraction form
    138,622/300,552 = 300,552/x
  3. Step 3: Cross multiply
    138,622x = 300,552 × 300,552
  4. Step 4: Simplify right side
    138,622x = 90,331,504,704
  5. Step 5: Solve for x
    x = 90,331,504,704/138,622
  6. Step 6: Final answer
    x = 651,639.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.