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Finding the Third Proportional to 1,218,395 and 2,640,181

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Solution

The third proportional to 1,218,395 and 2,640,181 is: 5,721,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,395 : 2,640,181 = 2,640,181 : x
  2. Step 2: Convert to fraction form
    1,218,395/2,640,181 = 2,640,181/x
  3. Step 3: Cross multiply
    1,218,395x = 2,640,181 × 2,640,181
  4. Step 4: Simplify right side
    1,218,395x = 6,970,555,712,761
  5. Step 5: Solve for x
    x = 6,970,555,712,761/1,218,395
  6. Step 6: Final answer
    x = 5,721,096.78

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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.