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Finding the Third Proportional to 1,284,078 and 2,782,147

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Solution

The third proportional to 1,284,078 and 2,782,147 is: 6,027,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,078 : 2,782,147 = 2,782,147 : x
  2. Step 2: Convert to fraction form
    1,284,078/2,782,147 = 2,782,147/x
  3. Step 3: Cross multiply
    1,284,078x = 2,782,147 × 2,782,147
  4. Step 4: Simplify right side
    1,284,078x = 7,740,341,929,609
  5. Step 5: Solve for x
    x = 7,740,341,929,609/1,284,078
  6. Step 6: Final answer
    x = 6,027,937.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.