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Finding the Third Proportional to 455,862 and 991,995

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Solution

The third proportional to 455,862 and 991,995 is: 2,158,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,862 : 991,995 = 991,995 : x
  2. Step 2: Convert to fraction form
    455,862/991,995 = 991,995/x
  3. Step 3: Cross multiply
    455,862x = 991,995 × 991,995
  4. Step 4: Simplify right side
    455,862x = 984,054,080,025
  5. Step 5: Solve for x
    x = 984,054,080,025/455,862
  6. Step 6: Final answer
    x = 2,158,666.61

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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.