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Finding the Third Proportional to 684.25 and 995.88

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Solution

The third proportional to 684.25 and 995.88 is: 1,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.25 : 995.88 = 995.88 : x
  2. Step 2: Convert to fraction form
    684.25/995.88 = 995.88/x
  3. Step 3: Cross multiply
    684.25x = 995.88 × 995.88
  4. Step 4: Simplify right side
    684.25x = 991,767.02
  5. Step 5: Solve for x
    x = 991,767.02/684.25
  6. Step 6: Final answer
    x = 1,449.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.