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Finding the Third Proportional to 455,868 and 991,992

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Solution

The third proportional to 455,868 and 991,992 is: 2,158,625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,868 : 991,992 = 991,992 : x
  2. Step 2: Convert to fraction form
    455,868/991,992 = 991,992/x
  3. Step 3: Cross multiply
    455,868x = 991,992 × 991,992
  4. Step 4: Simplify right side
    455,868x = 984,048,128,064
  5. Step 5: Solve for x
    x = 984,048,128,064/455,868
  6. Step 6: Final answer
    x = 2,158,625.15

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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.