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Finding the Third Proportional to 7,263,780 and 11,703,890

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Solution

The third proportional to 7,263,780 and 11,703,890 is: 18,858,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263,780 : 11,703,890 = 11,703,890 : x
  2. Step 2: Convert to fraction form
    7,263,780/11,703,890 = 11,703,890/x
  3. Step 3: Cross multiply
    7,263,780x = 11,703,890 × 11,703,890
  4. Step 4: Simplify right side
    7,263,780x = 136,981,041,132,100
  5. Step 5: Solve for x
    x = 136,981,041,132,100/7,263,780
  6. Step 6: Final answer
    x = 18,858,093.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.