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Finding the Third Proportional to 3,578,859 and 5,420,411

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Solution

The third proportional to 3,578,859 and 5,420,411 is: 8,209,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578,859 : 5,420,411 = 5,420,411 : x
  2. Step 2: Convert to fraction form
    3,578,859/5,420,411 = 5,420,411/x
  3. Step 3: Cross multiply
    3,578,859x = 5,420,411 × 5,420,411
  4. Step 4: Simplify right side
    3,578,859x = 29,380,855,408,921
  5. Step 5: Solve for x
    x = 29,380,855,408,921/3,578,859
  6. Step 6: Final answer
    x = 8,209,559.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.