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Finding the Third Proportional to 980.31 and 1,470.46

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Solution

The third proportional to 980.31 and 1,470.46 is: 2,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.31 : 1,470.46 = 1,470.46 : x
  2. Step 2: Convert to fraction form
    980.31/1,470.46 = 1,470.46/x
  3. Step 3: Cross multiply
    980.31x = 1,470.46 × 1,470.46
  4. Step 4: Simplify right side
    980.31x = 2,162,248.19
  5. Step 5: Solve for x
    x = 2,162,248.19/980.31
  6. Step 6: Final answer
    x = 2,205.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.