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Finding the Third Proportional to 2,121,499 and 4,723,183

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Solution

The third proportional to 2,121,499 and 4,723,183 is: 10,515,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121,499 : 4,723,183 = 4,723,183 : x
  2. Step 2: Convert to fraction form
    2,121,499/4,723,183 = 4,723,183/x
  3. Step 3: Cross multiply
    2,121,499x = 4,723,183 × 4,723,183
  4. Step 4: Simplify right side
    2,121,499x = 22,308,457,651,489
  5. Step 5: Solve for x
    x = 22,308,457,651,489/2,121,499
  6. Step 6: Final answer
    x = 10,515,422.19

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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.