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Finding the Third Proportional to 155,956 and 336,878

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Solution

The third proportional to 155,956 and 336,878 is: 727,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,956 : 336,878 = 336,878 : x
  2. Step 2: Convert to fraction form
    155,956/336,878 = 336,878/x
  3. Step 3: Cross multiply
    155,956x = 336,878 × 336,878
  4. Step 4: Simplify right side
    155,956x = 113,486,786,884
  5. Step 5: Solve for x
    x = 113,486,786,884/155,956
  6. Step 6: Final answer
    x = 727,684.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.