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Finding the Third Proportional to 392.13 and 810.42

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Solution

The third proportional to 392.13 and 810.42 is: 1,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.13 : 810.42 = 810.42 : x
  2. Step 2: Convert to fraction form
    392.13/810.42 = 810.42/x
  3. Step 3: Cross multiply
    392.13x = 810.42 × 810.42
  4. Step 4: Simplify right side
    392.13x = 656,783.62
  5. Step 5: Solve for x
    x = 656,783.62/392.13
  6. Step 6: Final answer
    x = 1,674.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.