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Finding the Third Proportional to 136,622 and 280,048

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Solution

The third proportional to 136,622 and 280,048 is: 574,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,622 : 280,048 = 280,048 : x
  2. Step 2: Convert to fraction form
    136,622/280,048 = 280,048/x
  3. Step 3: Cross multiply
    136,622x = 280,048 × 280,048
  4. Step 4: Simplify right side
    136,622x = 78,426,882,304
  5. Step 5: Solve for x
    x = 78,426,882,304/136,622
  6. Step 6: Final answer
    x = 574,042.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.