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Finding the Third Proportional to 403,138 and 879,956

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Solution

The third proportional to 403,138 and 879,956 is: 1,920,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,138 : 879,956 = 879,956 : x
  2. Step 2: Convert to fraction form
    403,138/879,956 = 879,956/x
  3. Step 3: Cross multiply
    403,138x = 879,956 × 879,956
  4. Step 4: Simplify right side
    403,138x = 774,322,561,936
  5. Step 5: Solve for x
    x = 774,322,561,936/403,138
  6. Step 6: Final answer
    x = 1,920,738.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.