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Finding the Third Proportional to 211,940 and 297,077

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Solution

The third proportional to 211,940 and 297,077 is: 416,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,940 : 297,077 = 297,077 : x
  2. Step 2: Convert to fraction form
    211,940/297,077 = 297,077/x
  3. Step 3: Cross multiply
    211,940x = 297,077 × 297,077
  4. Step 4: Simplify right side
    211,940x = 88,254,743,929
  5. Step 5: Solve for x
    x = 88,254,743,929/211,940
  6. Step 6: Final answer
    x = 416,413.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.