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Finding the Third Proportional to 980.31 and 1,441.63

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Solution

The third proportional to 980.31 and 1,441.63 is: 2,120.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.31 : 1,441.63 = 1,441.63 : x
  2. Step 2: Convert to fraction form
    980.31/1,441.63 = 1,441.63/x
  3. Step 3: Cross multiply
    980.31x = 1,441.63 × 1,441.63
  4. Step 4: Simplify right side
    980.31x = 2,078,285.46
  5. Step 5: Solve for x
    x = 2,078,285.46/980.31
  6. Step 6: Final answer
    x = 2,120.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.