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Finding the Third Proportional to 12,009,798 and 18,589,149

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Solution

The third proportional to 12,009,798 and 18,589,149 is: 28,772,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009,798 : 18,589,149 = 18,589,149 : x
  2. Step 2: Convert to fraction form
    12,009,798/18,589,149 = 18,589,149/x
  3. Step 3: Cross multiply
    12,009,798x = 18,589,149 × 18,589,149
  4. Step 4: Simplify right side
    12,009,798x = 345,556,460,544,201
  5. Step 5: Solve for x
    x = 345,556,460,544,201/12,009,798
  6. Step 6: Final answer
    x = 28,772,878.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.