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Finding the Third Proportional to 2,121,493 and 4,723,171

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Solution

The third proportional to 2,121,493 and 4,723,171 is: 10,515,398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121,493 : 4,723,171 = 4,723,171 : x
  2. Step 2: Convert to fraction form
    2,121,493/4,723,171 = 4,723,171/x
  3. Step 3: Cross multiply
    2,121,493x = 4,723,171 × 4,723,171
  4. Step 4: Simplify right side
    2,121,493x = 22,308,344,295,241
  5. Step 5: Solve for x
    x = 22,308,344,295,241/2,121,493
  6. Step 6: Final answer
    x = 10,515,398.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.