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Finding the Third Proportional to 3,012,796 and 4,214,020

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Solution

The third proportional to 3,012,796 and 4,214,020 is: 5,894,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012,796 : 4,214,020 = 4,214,020 : x
  2. Step 2: Convert to fraction form
    3,012,796/4,214,020 = 4,214,020/x
  3. Step 3: Cross multiply
    3,012,796x = 4,214,020 × 4,214,020
  4. Step 4: Simplify right side
    3,012,796x = 17,757,964,560,400
  5. Step 5: Solve for x
    x = 17,757,964,560,400/3,012,796
  6. Step 6: Final answer
    x = 5,894,180.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.