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Finding the Third Proportional to 276,255 and 605,214

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Solution

The third proportional to 276,255 and 605,214 is: 1,325,890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,255 : 605,214 = 605,214 : x
  2. Step 2: Convert to fraction form
    276,255/605,214 = 605,214/x
  3. Step 3: Cross multiply
    276,255x = 605,214 × 605,214
  4. Step 4: Simplify right side
    276,255x = 366,283,985,796
  5. Step 5: Solve for x
    x = 366,283,985,796/276,255
  6. Step 6: Final answer
    x = 1,325,890.88

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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.