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Finding the Third Proportional to 297,749 and 647,982

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Solution

The third proportional to 297,749 and 647,982 is: 1,410,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,749 : 647,982 = 647,982 : x
  2. Step 2: Convert to fraction form
    297,749/647,982 = 647,982/x
  3. Step 3: Cross multiply
    297,749x = 647,982 × 647,982
  4. Step 4: Simplify right side
    297,749x = 419,880,672,324
  5. Step 5: Solve for x
    x = 419,880,672,324/297,749
  6. Step 6: Final answer
    x = 1,410,183.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.