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Finding the Third Proportional to 455,720 and 997,249

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Solution

The third proportional to 455,720 and 997,249 is: 2,182,273.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,720 : 997,249 = 997,249 : x
  2. Step 2: Convert to fraction form
    455,720/997,249 = 997,249/x
  3. Step 3: Cross multiply
    455,720x = 997,249 × 997,249
  4. Step 4: Simplify right side
    455,720x = 994,505,568,001
  5. Step 5: Solve for x
    x = 994,505,568,001/455,720
  6. Step 6: Final answer
    x = 2,182,273.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.