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Finding the Third Proportional to 276,589.50 and 427,168.50

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Solution

The third proportional to 276,589.50 and 427,168.50 is: 659,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,589.50 : 427,168.50 = 427,168.50 : x
  2. Step 2: Convert to fraction form
    276,589.50/427,168.50 = 427,168.50/x
  3. Step 3: Cross multiply
    276,589.50x = 427,168.50 × 427,168.50
  4. Step 4: Simplify right side
    276,589.50x = 182,472,927,392.25
  5. Step 5: Solve for x
    x = 182,472,927,392.25/276,589.50
  6. Step 6: Final answer
    x = 659,724.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.