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Finding the Third Proportional to 299,713 and 642,176

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Solution

The third proportional to 299,713 and 642,176 is: 1,375,949.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,713 : 642,176 = 642,176 : x
  2. Step 2: Convert to fraction form
    299,713/642,176 = 642,176/x
  3. Step 3: Cross multiply
    299,713x = 642,176 × 642,176
  4. Step 4: Simplify right side
    299,713x = 412,390,014,976
  5. Step 5: Solve for x
    x = 412,390,014,976/299,713
  6. Step 6: Final answer
    x = 1,375,949.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.