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Finding the Third Proportional to 128,626 and 276,980

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Solution

The third proportional to 128,626 and 276,980 is: 596,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,626 : 276,980 = 276,980 : x
  2. Step 2: Convert to fraction form
    128,626/276,980 = 276,980/x
  3. Step 3: Cross multiply
    128,626x = 276,980 × 276,980
  4. Step 4: Simplify right side
    128,626x = 76,717,920,400
  5. Step 5: Solve for x
    x = 76,717,920,400/128,626
  6. Step 6: Final answer
    x = 596,441.78

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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.