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Finding the Third Proportional to 1,228,077 and 2,642,778

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Solution

The third proportional to 1,228,077 and 2,642,778 is: 5,687,164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,077 : 2,642,778 = 2,642,778 : x
  2. Step 2: Convert to fraction form
    1,228,077/2,642,778 = 2,642,778/x
  3. Step 3: Cross multiply
    1,228,077x = 2,642,778 × 2,642,778
  4. Step 4: Simplify right side
    1,228,077x = 6,984,275,557,284
  5. Step 5: Solve for x
    x = 6,984,275,557,284/1,228,077
  6. Step 6: Final answer
    x = 5,687,164.21

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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.