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Finding the Third Proportional to 358.94 and 775.19

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Solution

The third proportional to 358.94 and 775.19 is: 1,674.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.94 : 775.19 = 775.19 : x
  2. Step 2: Convert to fraction form
    358.94/775.19 = 775.19/x
  3. Step 3: Cross multiply
    358.94x = 775.19 × 775.19
  4. Step 4: Simplify right side
    358.94x = 600,915.66
  5. Step 5: Solve for x
    x = 600,915.66/358.94
  6. Step 6: Final answer
    x = 1,674.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.