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Finding the Third Proportional to 276,638 and 439,149

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Solution

The third proportional to 276,638 and 439,149 is: 697,127.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,638 : 439,149 = 439,149 : x
  2. Step 2: Convert to fraction form
    276,638/439,149 = 439,149/x
  3. Step 3: Cross multiply
    276,638x = 439,149 × 439,149
  4. Step 4: Simplify right side
    276,638x = 192,851,844,201
  5. Step 5: Solve for x
    x = 192,851,844,201/276,638
  6. Step 6: Final answer
    x = 697,127.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.