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Finding the Third Proportional to 1,289,471 and 2,769,199

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Solution

The third proportional to 1,289,471 and 2,769,199 is: 5,946,983.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,471 : 2,769,199 = 2,769,199 : x
  2. Step 2: Convert to fraction form
    1,289,471/2,769,199 = 2,769,199/x
  3. Step 3: Cross multiply
    1,289,471x = 2,769,199 × 2,769,199
  4. Step 4: Simplify right side
    1,289,471x = 7,668,463,101,601
  5. Step 5: Solve for x
    x = 7,668,463,101,601/1,289,471
  6. Step 6: Final answer
    x = 5,946,983.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.