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Finding the Third Proportional to 6,192,770 and 12,950,196

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Solution

The third proportional to 6,192,770 and 12,950,196 is: 27,081,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192,770 : 12,950,196 = 12,950,196 : x
  2. Step 2: Convert to fraction form
    6,192,770/12,950,196 = 12,950,196/x
  3. Step 3: Cross multiply
    6,192,770x = 12,950,196 × 12,950,196
  4. Step 4: Simplify right side
    6,192,770x = 167,707,576,438,416
  5. Step 5: Solve for x
    x = 167,707,576,438,416/6,192,770
  6. Step 6: Final answer
    x = 27,081,189.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.