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Finding the Third Proportional to 211,726 and 300,954

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Solution

The third proportional to 211,726 and 300,954 is: 427,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,726 : 300,954 = 300,954 : x
  2. Step 2: Convert to fraction form
    211,726/300,954 = 300,954/x
  3. Step 3: Cross multiply
    211,726x = 300,954 × 300,954
  4. Step 4: Simplify right side
    211,726x = 90,573,310,116
  5. Step 5: Solve for x
    x = 90,573,310,116/211,726
  6. Step 6: Final answer
    x = 427,785.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.