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Finding the Third Proportional to 297,348 and 641,348

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Solution

The third proportional to 297,348 and 641,348 is: 1,383,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,348 : 641,348 = 641,348 : x
  2. Step 2: Convert to fraction form
    297,348/641,348 = 641,348/x
  3. Step 3: Cross multiply
    297,348x = 641,348 × 641,348
  4. Step 4: Simplify right side
    297,348x = 411,327,257,104
  5. Step 5: Solve for x
    x = 411,327,257,104/297,348
  6. Step 6: Final answer
    x = 1,383,319.40

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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.