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Finding the Third Proportional to 211,938 and 297,074

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Solution

The third proportional to 211,938 and 297,074 is: 416,409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,938 : 297,074 = 297,074 : x
  2. Step 2: Convert to fraction form
    211,938/297,074 = 297,074/x
  3. Step 3: Cross multiply
    211,938x = 297,074 × 297,074
  4. Step 4: Simplify right side
    211,938x = 88,252,961,476
  5. Step 5: Solve for x
    x = 88,252,961,476/211,938
  6. Step 6: Final answer
    x = 416,409.33

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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.