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Finding the Third Proportional to 276,260 and 389,939

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Solution

The third proportional to 276,260 and 389,939 is: 550,396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,260 : 389,939 = 389,939 : x
  2. Step 2: Convert to fraction form
    276,260/389,939 = 389,939/x
  3. Step 3: Cross multiply
    276,260x = 389,939 × 389,939
  4. Step 4: Simplify right side
    276,260x = 152,052,423,721
  5. Step 5: Solve for x
    x = 152,052,423,721/276,260
  6. Step 6: Final answer
    x = 550,396.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.