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Finding the Third Proportional to 211,715 and 300,937

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Solution

The third proportional to 211,715 and 300,937 is: 427,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,715 : 300,937 = 300,937 : x
  2. Step 2: Convert to fraction form
    211,715/300,937 = 300,937/x
  3. Step 3: Cross multiply
    211,715x = 300,937 × 300,937
  4. Step 4: Simplify right side
    211,715x = 90,563,077,969
  5. Step 5: Solve for x
    x = 90,563,077,969/211,715
  6. Step 6: Final answer
    x = 427,759.38

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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.