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Finding the Third Proportional to 276,913 and 605,079

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Solution

The third proportional to 276,913 and 605,079 is: 1,322,150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,913 : 605,079 = 605,079 : x
  2. Step 2: Convert to fraction form
    276,913/605,079 = 605,079/x
  3. Step 3: Cross multiply
    276,913x = 605,079 × 605,079
  4. Step 4: Simplify right side
    276,913x = 366,120,596,241
  5. Step 5: Solve for x
    x = 366,120,596,241/276,913
  6. Step 6: Final answer
    x = 1,322,150.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.