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Finding the Third Proportional to 276,814 and 605,324

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Solution

The third proportional to 276,814 and 605,324 is: 1,323,694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,814 : 605,324 = 605,324 : x
  2. Step 2: Convert to fraction form
    276,814/605,324 = 605,324/x
  3. Step 3: Cross multiply
    276,814x = 605,324 × 605,324
  4. Step 4: Simplify right side
    276,814x = 366,417,144,976
  5. Step 5: Solve for x
    x = 366,417,144,976/276,814
  6. Step 6: Final answer
    x = 1,323,694.41

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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.