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Finding the Third Proportional to 128,933 and 276,909

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Solution

The third proportional to 128,933 and 276,909 is: 594,716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,933 : 276,909 = 276,909 : x
  2. Step 2: Convert to fraction form
    128,933/276,909 = 276,909/x
  3. Step 3: Cross multiply
    128,933x = 276,909 × 276,909
  4. Step 4: Simplify right side
    128,933x = 76,678,594,281
  5. Step 5: Solve for x
    x = 76,678,594,281/128,933
  6. Step 6: Final answer
    x = 594,716.59

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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.