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Finding the Third Proportional to 739.76 and 825.19

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Solution

The third proportional to 739.76 and 825.19 is: 920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.76 : 825.19 = 825.19 : x
  2. Step 2: Convert to fraction form
    739.76/825.19 = 825.19/x
  3. Step 3: Cross multiply
    739.76x = 825.19 × 825.19
  4. Step 4: Simplify right side
    739.76x = 680,934.41
  5. Step 5: Solve for x
    x = 680,934.41/739.76
  6. Step 6: Final answer
    x = 920.48

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.