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Finding the Third Proportional to 1,238,643 and 2,720,868

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Solution

The third proportional to 1,238,643 and 2,720,868 is: 5,976,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,643 : 2,720,868 = 2,720,868 : x
  2. Step 2: Convert to fraction form
    1,238,643/2,720,868 = 2,720,868/x
  3. Step 3: Cross multiply
    1,238,643x = 2,720,868 × 2,720,868
  4. Step 4: Simplify right side
    1,238,643x = 7,403,122,673,424
  5. Step 5: Solve for x
    x = 7,403,122,673,424/1,238,643
  6. Step 6: Final answer
    x = 5,976,800.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.