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Finding the Third Proportional to 297,314 and 641,284

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Solution

The third proportional to 297,314 and 641,284 is: 1,383,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,314 : 641,284 = 641,284 : x
  2. Step 2: Convert to fraction form
    297,314/641,284 = 641,284/x
  3. Step 3: Cross multiply
    297,314x = 641,284 × 641,284
  4. Step 4: Simplify right side
    297,314x = 411,245,168,656
  5. Step 5: Solve for x
    x = 411,245,168,656/297,314
  6. Step 6: Final answer
    x = 1,383,201.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.