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Finding the Third Proportional to 297,530 and 655,414

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Solution

The third proportional to 297,530 and 655,414 is: 1,443,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,530 : 655,414 = 655,414 : x
  2. Step 2: Convert to fraction form
    297,530/655,414 = 655,414/x
  3. Step 3: Cross multiply
    297,530x = 655,414 × 655,414
  4. Step 4: Simplify right side
    297,530x = 429,567,511,396
  5. Step 5: Solve for x
    x = 429,567,511,396/297,530
  6. Step 6: Final answer
    x = 1,443,778.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.