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Finding the Third Proportional to 299,847 and 644,158

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Solution

The third proportional to 299,847 and 644,158 is: 1,383,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,847 : 644,158 = 644,158 : x
  2. Step 2: Convert to fraction form
    299,847/644,158 = 644,158/x
  3. Step 3: Cross multiply
    299,847x = 644,158 × 644,158
  4. Step 4: Simplify right side
    299,847x = 414,939,528,964
  5. Step 5: Solve for x
    x = 414,939,528,964/299,847
  6. Step 6: Final answer
    x = 1,383,837.52

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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.