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Finding the Third Proportional to 300,324 and 647,184

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Solution

The third proportional to 300,324 and 647,184 is: 1,394,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,324 : 647,184 = 647,184 : x
  2. Step 2: Convert to fraction form
    300,324/647,184 = 647,184/x
  3. Step 3: Cross multiply
    300,324x = 647,184 × 647,184
  4. Step 4: Simplify right side
    300,324x = 418,847,129,856
  5. Step 5: Solve for x
    x = 418,847,129,856/300,324
  6. Step 6: Final answer
    x = 1,394,650.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.