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Finding the Third Proportional to 455,348 and 997,812

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Solution

The third proportional to 455,348 and 997,812 is: 2,186,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,348 : 997,812 = 997,812 : x
  2. Step 2: Convert to fraction form
    455,348/997,812 = 997,812/x
  3. Step 3: Cross multiply
    455,348x = 997,812 × 997,812
  4. Step 4: Simplify right side
    455,348x = 995,628,787,344
  5. Step 5: Solve for x
    x = 995,628,787,344/455,348
  6. Step 6: Final answer
    x = 2,186,522.81

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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.