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Finding the Third Proportional to 2,782,821 and 4,256,989

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Solution

The third proportional to 2,782,821 and 4,256,989 is: 6,512,080.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,821 : 4,256,989 = 4,256,989 : x
  2. Step 2: Convert to fraction form
    2,782,821/4,256,989 = 4,256,989/x
  3. Step 3: Cross multiply
    2,782,821x = 4,256,989 × 4,256,989
  4. Step 4: Simplify right side
    2,782,821x = 18,121,955,346,121
  5. Step 5: Solve for x
    x = 18,121,955,346,121/2,782,821
  6. Step 6: Final answer
    x = 6,512,080.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.