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Finding the Third Proportional to 455,909 and 992,092

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Solution

The third proportional to 455,909 and 992,092 is: 2,158,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,909 : 992,092 = 992,092 : x
  2. Step 2: Convert to fraction form
    455,909/992,092 = 992,092/x
  3. Step 3: Cross multiply
    455,909x = 992,092 × 992,092
  4. Step 4: Simplify right side
    455,909x = 984,246,536,464
  5. Step 5: Solve for x
    x = 984,246,536,464/455,909
  6. Step 6: Final answer
    x = 2,158,866.21

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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.