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Finding the Third Proportional to 211,940 and 297,054

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Solution

The third proportional to 211,940 and 297,054 is: 416,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,940 : 297,054 = 297,054 : x
  2. Step 2: Convert to fraction form
    211,940/297,054 = 297,054/x
  3. Step 3: Cross multiply
    211,940x = 297,054 × 297,054
  4. Step 4: Simplify right side
    211,940x = 88,241,078,916
  5. Step 5: Solve for x
    x = 88,241,078,916/211,940
  6. Step 6: Final answer
    x = 416,349.34

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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.