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Finding the Third Proportional to 297,751 and 647,986

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Solution

The third proportional to 297,751 and 647,986 is: 1,410,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,751 : 647,986 = 647,986 : x
  2. Step 2: Convert to fraction form
    297,751/647,986 = 647,986/x
  3. Step 3: Cross multiply
    297,751x = 647,986 × 647,986
  4. Step 4: Simplify right side
    297,751x = 419,885,856,196
  5. Step 5: Solve for x
    x = 419,885,856,196/297,751
  6. Step 6: Final answer
    x = 1,410,191.25

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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.