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Finding the Third Proportional to 3,213,818 and 4,980,378

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Solution

The third proportional to 3,213,818 and 4,980,378 is: 7,717,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213,818 : 4,980,378 = 4,980,378 : x
  2. Step 2: Convert to fraction form
    3,213,818/4,980,378 = 4,980,378/x
  3. Step 3: Cross multiply
    3,213,818x = 4,980,378 × 4,980,378
  4. Step 4: Simplify right side
    3,213,818x = 24,804,165,022,884
  5. Step 5: Solve for x
    x = 24,804,165,022,884/3,213,818
  6. Step 6: Final answer
    x = 7,717,974.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.