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Finding the Third Proportional to 355,515 and 839,214

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Solution

The third proportional to 355,515 and 839,214 is: 1,981,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,515 : 839,214 = 839,214 : x
  2. Step 2: Convert to fraction form
    355,515/839,214 = 839,214/x
  3. Step 3: Cross multiply
    355,515x = 839,214 × 839,214
  4. Step 4: Simplify right side
    355,515x = 704,280,137,796
  5. Step 5: Solve for x
    x = 704,280,137,796/355,515
  6. Step 6: Final answer
    x = 1,981,013.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.