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Finding the Third Proportional to 455.91 and 982.69

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Solution

The third proportional to 455.91 and 982.69 is: 2,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.91 : 982.69 = 982.69 : x
  2. Step 2: Convert to fraction form
    455.91/982.69 = 982.69/x
  3. Step 3: Cross multiply
    455.91x = 982.69 × 982.69
  4. Step 4: Simplify right side
    455.91x = 965,674.72
  5. Step 5: Solve for x
    x = 965,674.72/455.91
  6. Step 6: Final answer
    x = 2,118.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.