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Finding the Third Proportional to 276,658 and 427,265

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Solution

The third proportional to 276,658 and 427,265 is: 659,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,658 : 427,265 = 427,265 : x
  2. Step 2: Convert to fraction form
    276,658/427,265 = 427,265/x
  3. Step 3: Cross multiply
    276,658x = 427,265 × 427,265
  4. Step 4: Simplify right side
    276,658x = 182,555,380,225
  5. Step 5: Solve for x
    x = 182,555,380,225/276,658
  6. Step 6: Final answer
    x = 659,859.39

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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.