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Finding the Third Proportional to 276,621.75 and 427,212.56

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Solution

The third proportional to 276,621.75 and 427,212.56 is: 659,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,621.75 : 427,212.56 = 427,212.56 : x
  2. Step 2: Convert to fraction form
    276,621.75/427,212.56 = 427,212.56/x
  3. Step 3: Cross multiply
    276,621.75x = 427,212.56 × 427,212.56
  4. Step 4: Simplify right side
    276,621.75x = 182,510,573,557.82
  5. Step 5: Solve for x
    x = 182,510,573,557.82/276,621.75
  6. Step 6: Final answer
    x = 659,783.89

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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.