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Finding the Third Proportional to 7,791,109 and 11,643,057

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Solution

The third proportional to 7,791,109 and 11,643,057 is: 17,399,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791,109 : 11,643,057 = 11,643,057 : x
  2. Step 2: Convert to fraction form
    7,791,109/11,643,057 = 11,643,057/x
  3. Step 3: Cross multiply
    7,791,109x = 11,643,057 × 11,643,057
  4. Step 4: Simplify right side
    7,791,109x = 135,560,776,305,249
  5. Step 5: Solve for x
    x = 135,560,776,305,249/7,791,109
  6. Step 6: Final answer
    x = 17,399,419.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.