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Finding the Third Proportional to 13,660,316 and 20,770,189

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Solution

The third proportional to 13,660,316 and 20,770,189 is: 31,580,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660,316 : 20,770,189 = 20,770,189 : x
  2. Step 2: Convert to fraction form
    13,660,316/20,770,189 = 20,770,189/x
  3. Step 3: Cross multiply
    13,660,316x = 20,770,189 × 20,770,189
  4. Step 4: Simplify right side
    13,660,316x = 431,400,751,095,721
  5. Step 5: Solve for x
    x = 431,400,751,095,721/13,660,316
  6. Step 6: Final answer
    x = 31,580,583.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.