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Finding the Third Proportional to 455,198 and 997,471

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Solution

The third proportional to 455,198 and 997,471 is: 2,185,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,198 : 997,471 = 997,471 : x
  2. Step 2: Convert to fraction form
    455,198/997,471 = 997,471/x
  3. Step 3: Cross multiply
    455,198x = 997,471 × 997,471
  4. Step 4: Simplify right side
    455,198x = 994,948,395,841
  5. Step 5: Solve for x
    x = 994,948,395,841/455,198
  6. Step 6: Final answer
    x = 2,185,748.61

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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.