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Finding the Third Proportional to 980.54 and 1,371.46

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Solution

The third proportional to 980.54 and 1,371.46 is: 1,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.54 : 1,371.46 = 1,371.46 : x
  2. Step 2: Convert to fraction form
    980.54/1,371.46 = 1,371.46/x
  3. Step 3: Cross multiply
    980.54x = 1,371.46 × 1,371.46
  4. Step 4: Simplify right side
    980.54x = 1,880,910.46
  5. Step 5: Solve for x
    x = 1,880,910.46/980.54
  6. Step 6: Final answer
    x = 1,918.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.