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Finding the Third Proportional to 829.73 and 1,200.89

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Solution

The third proportional to 829.73 and 1,200.89 is: 1,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.73 : 1,200.89 = 1,200.89 : x
  2. Step 2: Convert to fraction form
    829.73/1,200.89 = 1,200.89/x
  3. Step 3: Cross multiply
    829.73x = 1,200.89 × 1,200.89
  4. Step 4: Simplify right side
    829.73x = 1,442,138.29
  5. Step 5: Solve for x
    x = 1,442,138.29/829.73
  6. Step 6: Final answer
    x = 1,738.07

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.