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Finding the Third Proportional to 11,831,620 and 18,174,816

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Solution

The third proportional to 11,831,620 and 18,174,816 is: 27,918,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831,620 : 18,174,816 = 18,174,816 : x
  2. Step 2: Convert to fraction form
    11,831,620/18,174,816 = 18,174,816/x
  3. Step 3: Cross multiply
    11,831,620x = 18,174,816 × 18,174,816
  4. Step 4: Simplify right side
    11,831,620x = 330,323,936,633,856
  5. Step 5: Solve for x
    x = 330,323,936,633,856/11,831,620
  6. Step 6: Final answer
    x = 27,918,741.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.