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Finding the Third Proportional to 455.75 and 995.03

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Solution

The third proportional to 455.75 and 995.03 is: 2,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.75 : 995.03 = 995.03 : x
  2. Step 2: Convert to fraction form
    455.75/995.03 = 995.03/x
  3. Step 3: Cross multiply
    455.75x = 995.03 × 995.03
  4. Step 4: Simplify right side
    455.75x = 990,087.19
  5. Step 5: Solve for x
    x = 990,087.19/455.75
  6. Step 6: Final answer
    x = 2,172.43

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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.