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Finding the Third Proportional to 455,889 and 992,049

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Solution

The third proportional to 455,889 and 992,049 is: 2,158,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,889 : 992,049 = 992,049 : x
  2. Step 2: Convert to fraction form
    455,889/992,049 = 992,049/x
  3. Step 3: Cross multiply
    455,889x = 992,049 × 992,049
  4. Step 4: Simplify right side
    455,889x = 984,161,218,401
  5. Step 5: Solve for x
    x = 984,161,218,401/455,889
  6. Step 6: Final answer
    x = 2,158,773.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.