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Finding the Third Proportional to 1,278,103 and 2,800,641

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Solution

The third proportional to 1,278,103 and 2,800,641 is: 6,136,899.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,103 : 2,800,641 = 2,800,641 : x
  2. Step 2: Convert to fraction form
    1,278,103/2,800,641 = 2,800,641/x
  3. Step 3: Cross multiply
    1,278,103x = 2,800,641 × 2,800,641
  4. Step 4: Simplify right side
    1,278,103x = 7,843,590,010,881
  5. Step 5: Solve for x
    x = 7,843,590,010,881/1,278,103
  6. Step 6: Final answer
    x = 6,136,899.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.