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Finding the Third Proportional to 455,718 and 997,245

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Solution

The third proportional to 455,718 and 997,245 is: 2,182,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,718 : 997,245 = 997,245 : x
  2. Step 2: Convert to fraction form
    455,718/997,245 = 997,245/x
  3. Step 3: Cross multiply
    455,718x = 997,245 × 997,245
  4. Step 4: Simplify right side
    455,718x = 994,497,590,025
  5. Step 5: Solve for x
    x = 994,497,590,025/455,718
  6. Step 6: Final answer
    x = 2,182,265.33

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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.