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Finding the Third Proportional to 392.81 and 922.13

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Solution

The third proportional to 392.81 and 922.13 is: 2,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.81 : 922.13 = 922.13 : x
  2. Step 2: Convert to fraction form
    392.81/922.13 = 922.13/x
  3. Step 3: Cross multiply
    392.81x = 922.13 × 922.13
  4. Step 4: Simplify right side
    392.81x = 850,314.52
  5. Step 5: Solve for x
    x = 850,314.52/392.81
  6. Step 6: Final answer
    x = 2,164.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.