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Finding the Third Proportional to 371.09 and 787.73

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Solution

The third proportional to 371.09 and 787.73 is: 1,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.09 : 787.73 = 787.73 : x
  2. Step 2: Convert to fraction form
    371.09/787.73 = 787.73/x
  3. Step 3: Cross multiply
    371.09x = 787.73 × 787.73
  4. Step 4: Simplify right side
    371.09x = 620,523.14
  5. Step 5: Solve for x
    x = 620,523.14/371.09
  6. Step 6: Final answer
    x = 1,672.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.