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Finding the Third Proportional to 358.41 and 787.27

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Solution

The third proportional to 358.41 and 787.27 is: 1,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.41 : 787.27 = 787.27 : x
  2. Step 2: Convert to fraction form
    358.41/787.27 = 787.27/x
  3. Step 3: Cross multiply
    358.41x = 787.27 × 787.27
  4. Step 4: Simplify right side
    358.41x = 619,787.16
  5. Step 5: Solve for x
    x = 619,787.16/358.41
  6. Step 6: Final answer
    x = 1,729.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.