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Finding the Third Proportional to 315.94 and 759.84

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Solution

The third proportional to 315.94 and 759.84 is: 1,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.94 : 759.84 = 759.84 : x
  2. Step 2: Convert to fraction form
    315.94/759.84 = 759.84/x
  3. Step 3: Cross multiply
    315.94x = 759.84 × 759.84
  4. Step 4: Simplify right side
    315.94x = 577,362.52
  5. Step 5: Solve for x
    x = 577,362.52/315.94
  6. Step 6: Final answer
    x = 1,827.46

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.