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Finding the Third Proportional to 8,942,900 and 19,398,104

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Solution

The third proportional to 8,942,900 and 19,398,104 is: 42,076,556.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942,900 : 19,398,104 = 19,398,104 : x
  2. Step 2: Convert to fraction form
    8,942,900/19,398,104 = 19,398,104/x
  3. Step 3: Cross multiply
    8,942,900x = 19,398,104 × 19,398,104
  4. Step 4: Simplify right side
    8,942,900x = 376,286,438,794,816
  5. Step 5: Solve for x
    x = 376,286,438,794,816/8,942,900
  6. Step 6: Final answer
    x = 42,076,556.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.