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Finding the Third Proportional to 3,621,469 and 7,830,971

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Solution

The third proportional to 3,621,469 and 7,830,971 is: 16,933,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,621,469 : 7,830,971 = 7,830,971 : x
  2. Step 2: Convert to fraction form
    3,621,469/7,830,971 = 7,830,971/x
  3. Step 3: Cross multiply
    3,621,469x = 7,830,971 × 7,830,971
  4. Step 4: Simplify right side
    3,621,469x = 61,324,106,802,841
  5. Step 5: Solve for x
    x = 61,324,106,802,841/3,621,469
  6. Step 6: Final answer
    x = 16,933,489.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.