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Finding the Third Proportional to 2,821,920 and 6,203,712

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Solution

The third proportional to 2,821,920 and 6,203,712 is: 13,638,247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821,920 : 6,203,712 = 6,203,712 : x
  2. Step 2: Convert to fraction form
    2,821,920/6,203,712 = 6,203,712/x
  3. Step 3: Cross multiply
    2,821,920x = 6,203,712 × 6,203,712
  4. Step 4: Simplify right side
    2,821,920x = 38,486,042,578,944
  5. Step 5: Solve for x
    x = 38,486,042,578,944/2,821,920
  6. Step 6: Final answer
    x = 13,638,247.21

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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.