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Finding the Third Proportional to 392.13 and 821.38

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Solution

The third proportional to 392.13 and 821.38 is: 1,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.13 : 821.38 = 821.38 : x
  2. Step 2: Convert to fraction form
    392.13/821.38 = 821.38/x
  3. Step 3: Cross multiply
    392.13x = 821.38 × 821.38
  4. Step 4: Simplify right side
    392.13x = 674,656.89
  5. Step 5: Solve for x
    x = 674,656.89/392.13
  6. Step 6: Final answer
    x = 1,720.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.