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Finding the Third Proportional to 2,143,617 and 4,719,029

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Solution

The third proportional to 2,143,617 and 4,719,029 is: 10,388,625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,617 : 4,719,029 = 4,719,029 : x
  2. Step 2: Convert to fraction form
    2,143,617/4,719,029 = 4,719,029/x
  3. Step 3: Cross multiply
    2,143,617x = 4,719,029 × 4,719,029
  4. Step 4: Simplify right side
    2,143,617x = 22,269,234,702,841
  5. Step 5: Solve for x
    x = 22,269,234,702,841/2,143,617
  6. Step 6: Final answer
    x = 10,388,625.72

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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.