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Finding the Third Proportional to 6,420,698 and 13,372,836

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Solution

The third proportional to 6,420,698 and 13,372,836 is: 27,852,539.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420,698 : 13,372,836 = 13,372,836 : x
  2. Step 2: Convert to fraction form
    6,420,698/13,372,836 = 13,372,836/x
  3. Step 3: Cross multiply
    6,420,698x = 13,372,836 × 13,372,836
  4. Step 4: Simplify right side
    6,420,698x = 178,832,742,682,896
  5. Step 5: Solve for x
    x = 178,832,742,682,896/6,420,698
  6. Step 6: Final answer
    x = 27,852,539.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.