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Finding the Third Proportional to 11,811,989 and 18,505,304

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Solution

The third proportional to 11,811,989 and 18,505,304 is: 28,991,415.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811,989 : 18,505,304 = 18,505,304 : x
  2. Step 2: Convert to fraction form
    11,811,989/18,505,304 = 18,505,304/x
  3. Step 3: Cross multiply
    11,811,989x = 18,505,304 × 18,505,304
  4. Step 4: Simplify right side
    11,811,989x = 342,446,276,132,416
  5. Step 5: Solve for x
    x = 342,446,276,132,416/11,811,989
  6. Step 6: Final answer
    x = 28,991,415.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.