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Finding the Third Proportional to 392.75 and 847.38

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Solution

The third proportional to 392.75 and 847.38 is: 1,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.75 : 847.38 = 847.38 : x
  2. Step 2: Convert to fraction form
    392.75/847.38 = 847.38/x
  3. Step 3: Cross multiply
    392.75x = 847.38 × 847.38
  4. Step 4: Simplify right side
    392.75x = 718,044.39
  5. Step 5: Solve for x
    x = 718,044.39/392.75
  6. Step 6: Final answer
    x = 1,828.25

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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.