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Finding the Third Proportional to 276,316 and 605,234

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Solution

The third proportional to 276,316 and 605,234 is: 1,325,685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,316 : 605,234 = 605,234 : x
  2. Step 2: Convert to fraction form
    276,316/605,234 = 605,234/x
  3. Step 3: Cross multiply
    276,316x = 605,234 × 605,234
  4. Step 4: Simplify right side
    276,316x = 366,308,194,756
  5. Step 5: Solve for x
    x = 366,308,194,756/276,316
  6. Step 6: Final answer
    x = 1,325,685.79

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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.