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Finding the Third Proportional to 1,218,840 and 2,821,230

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Solution

The third proportional to 1,218,840 and 2,821,230 is: 6,530,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,840 : 2,821,230 = 2,821,230 : x
  2. Step 2: Convert to fraction form
    1,218,840/2,821,230 = 2,821,230/x
  3. Step 3: Cross multiply
    1,218,840x = 2,821,230 × 2,821,230
  4. Step 4: Simplify right side
    1,218,840x = 7,959,338,712,900
  5. Step 5: Solve for x
    x = 7,959,338,712,900/1,218,840
  6. Step 6: Final answer
    x = 6,530,257.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.