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Finding the Third Proportional to 1,520,318 and 3,305,257

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Solution

The third proportional to 1,520,318 and 3,305,257 is: 7,185,814.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520,318 : 3,305,257 = 3,305,257 : x
  2. Step 2: Convert to fraction form
    1,520,318/3,305,257 = 3,305,257/x
  3. Step 3: Cross multiply
    1,520,318x = 3,305,257 × 3,305,257
  4. Step 4: Simplify right side
    1,520,318x = 10,924,723,836,049
  5. Step 5: Solve for x
    x = 10,924,723,836,049/1,520,318
  6. Step 6: Final answer
    x = 7,185,814.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.