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Finding the Third Proportional to 276,279 and 412,714

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Solution

The third proportional to 276,279 and 412,714 is: 616,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,279 : 412,714 = 412,714 : x
  2. Step 2: Convert to fraction form
    276,279/412,714 = 412,714/x
  3. Step 3: Cross multiply
    276,279x = 412,714 × 412,714
  4. Step 4: Simplify right side
    276,279x = 170,332,845,796
  5. Step 5: Solve for x
    x = 170,332,845,796/276,279
  6. Step 6: Final answer
    x = 616,524.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.