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Finding the Third Proportional to 128,624 and 276,976

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Solution

The third proportional to 128,624 and 276,976 is: 596,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,624 : 276,976 = 276,976 : x
  2. Step 2: Convert to fraction form
    128,624/276,976 = 276,976/x
  3. Step 3: Cross multiply
    128,624x = 276,976 × 276,976
  4. Step 4: Simplify right side
    128,624x = 76,715,704,576
  5. Step 5: Solve for x
    x = 76,715,704,576/128,624
  6. Step 6: Final answer
    x = 596,433.83

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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.