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Finding the Third Proportional to 276,256.75 and 389,934.75

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Solution

The third proportional to 276,256.75 and 389,934.75 is: 550,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,256.75 : 389,934.75 = 389,934.75 : x
  2. Step 2: Convert to fraction form
    276,256.75/389,934.75 = 389,934.75/x
  3. Step 3: Cross multiply
    276,256.75x = 389,934.75 × 389,934.75
  4. Step 4: Simplify right side
    276,256.75x = 152,049,109,257.56
  5. Step 5: Solve for x
    x = 152,049,109,257.56/276,256.75
  6. Step 6: Final answer
    x = 550,390.57

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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.