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Finding the Third Proportional to 458.37 and 982.55

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Solution

The third proportional to 458.37 and 982.55 is: 2,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.37 : 982.55 = 982.55 : x
  2. Step 2: Convert to fraction form
    458.37/982.55 = 982.55/x
  3. Step 3: Cross multiply
    458.37x = 982.55 × 982.55
  4. Step 4: Simplify right side
    458.37x = 965,398.36
  5. Step 5: Solve for x
    x = 965,398.36/458.37
  6. Step 6: Final answer
    x = 2,106.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.