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Finding the Third Proportional to 455.20 and 995.84

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Solution

The third proportional to 455.20 and 995.84 is: 2,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.20 : 995.84 = 995.84 : x
  2. Step 2: Convert to fraction form
    455.20/995.84 = 995.84/x
  3. Step 3: Cross multiply
    455.20x = 995.84 × 995.84
  4. Step 4: Simplify right side
    455.20x = 991,689.21
  5. Step 5: Solve for x
    x = 991,689.21/455.20
  6. Step 6: Final answer
    x = 2,178.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.