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Finding the Third Proportional to 1,218,692 and 2,640,775

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Solution

The third proportional to 1,218,692 and 2,640,775 is: 5,722,276.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,692 : 2,640,775 = 2,640,775 : x
  2. Step 2: Convert to fraction form
    1,218,692/2,640,775 = 2,640,775/x
  3. Step 3: Cross multiply
    1,218,692x = 2,640,775 × 2,640,775
  4. Step 4: Simplify right side
    1,218,692x = 6,973,692,600,625
  5. Step 5: Solve for x
    x = 6,973,692,600,625/1,218,692
  6. Step 6: Final answer
    x = 5,722,276.51

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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.