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Finding the Third Proportional to 455 and 982.63

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Solution

The third proportional to 455 and 982.63 is: 2,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    455 : 982.63 = 982.63 : x
  2. Step 2: Convert to fraction form
    455/982.63 = 982.63/x
  3. Step 3: Cross multiply
    455x = 982.63 × 982.63
  4. Step 4: Simplify right side
    455x = 965,551.89
  5. Step 5: Solve for x
    x = 965,551.89/455
  6. Step 6: Final answer
    x = 2,122.09

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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.