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Finding the Third Proportional to 678 and 995

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Solution

The third proportional to 678 and 995 is: 1,460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    678 : 995 = 995 : x
  2. Step 2: Convert to fraction form
    678/995 = 995/x
  3. Step 3: Cross multiply
    678x = 995 × 995
  4. Step 4: Simplify right side
    678x = 990,025
  5. Step 5: Solve for x
    x = 990,025/678
  6. Step 6: Final answer
    x = 1,460.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.