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Finding the Third Proportional to 276,381 and 585,976

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Solution

The third proportional to 276,381 and 585,976 is: 1,242,371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,381 : 585,976 = 585,976 : x
  2. Step 2: Convert to fraction form
    276,381/585,976 = 585,976/x
  3. Step 3: Cross multiply
    276,381x = 585,976 × 585,976
  4. Step 4: Simplify right side
    276,381x = 343,367,872,576
  5. Step 5: Solve for x
    x = 343,367,872,576/276,381
  6. Step 6: Final answer
    x = 1,242,371.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.