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Finding the Third Proportional to 839.25 and 1,280.39

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Solution

The third proportional to 839.25 and 1,280.39 is: 1,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.25 : 1,280.39 = 1,280.39 : x
  2. Step 2: Convert to fraction form
    839.25/1,280.39 = 1,280.39/x
  3. Step 3: Cross multiply
    839.25x = 1,280.39 × 1,280.39
  4. Step 4: Simplify right side
    839.25x = 1,639,400.15
  5. Step 5: Solve for x
    x = 1,639,400.15/839.25
  6. Step 6: Final answer
    x = 1,953.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.