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Finding the Third Proportional to 136,686 and 280,176

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Solution

The third proportional to 136,686 and 280,176 is: 574,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,686 : 280,176 = 280,176 : x
  2. Step 2: Convert to fraction form
    136,686/280,176 = 280,176/x
  3. Step 3: Cross multiply
    136,686x = 280,176 × 280,176
  4. Step 4: Simplify right side
    136,686x = 78,498,590,976
  5. Step 5: Solve for x
    x = 78,498,590,976/136,686
  6. Step 6: Final answer
    x = 574,298.69

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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.