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Finding the Third Proportional to 367.88 and 787.06

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Solution

The third proportional to 367.88 and 787.06 is: 1,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.88 : 787.06 = 787.06 : x
  2. Step 2: Convert to fraction form
    367.88/787.06 = 787.06/x
  3. Step 3: Cross multiply
    367.88x = 787.06 × 787.06
  4. Step 4: Simplify right side
    367.88x = 619,467.38
  5. Step 5: Solve for x
    x = 619,467.38/367.88
  6. Step 6: Final answer
    x = 1,683.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.