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Finding the Third Proportional to 276,631 and 427,224

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Solution

The third proportional to 276,631 and 427,224 is: 659,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,631 : 427,224 = 427,224 : x
  2. Step 2: Convert to fraction form
    276,631/427,224 = 427,224/x
  3. Step 3: Cross multiply
    276,631x = 427,224 × 427,224
  4. Step 4: Simplify right side
    276,631x = 182,520,346,176
  5. Step 5: Solve for x
    x = 182,520,346,176/276,631
  6. Step 6: Final answer
    x = 659,797.15

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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.