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Finding the Third Proportional to 420.82 and 982.76

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Solution

The third proportional to 420.82 and 982.76 is: 2,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.82 : 982.76 = 982.76 : x
  2. Step 2: Convert to fraction form
    420.82/982.76 = 982.76/x
  3. Step 3: Cross multiply
    420.82x = 982.76 × 982.76
  4. Step 4: Simplify right side
    420.82x = 965,812.92
  5. Step 5: Solve for x
    x = 965,812.92/420.82
  6. Step 6: Final answer
    x = 2,295.07

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.