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Finding the Third Proportional to 298,802 and 642,916

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Solution

The third proportional to 298,802 and 642,916 is: 1,383,327.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,802 : 642,916 = 642,916 : x
  2. Step 2: Convert to fraction form
    298,802/642,916 = 642,916/x
  3. Step 3: Cross multiply
    298,802x = 642,916 × 642,916
  4. Step 4: Simplify right side
    298,802x = 413,340,983,056
  5. Step 5: Solve for x
    x = 413,340,983,056/298,802
  6. Step 6: Final answer
    x = 1,383,327.36

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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.