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Finding the Third Proportional to 1,218,695 and 2,640,781

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Solution

The third proportional to 1,218,695 and 2,640,781 is: 5,722,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,695 : 2,640,781 = 2,640,781 : x
  2. Step 2: Convert to fraction form
    1,218,695/2,640,781 = 2,640,781/x
  3. Step 3: Cross multiply
    1,218,695x = 2,640,781 × 2,640,781
  4. Step 4: Simplify right side
    1,218,695x = 6,973,724,289,961
  5. Step 5: Solve for x
    x = 6,973,724,289,961/1,218,695
  6. Step 6: Final answer
    x = 5,722,288.42

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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.