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Finding the Third Proportional to 392.25 and 846.56

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Solution

The third proportional to 392.25 and 846.56 is: 1,827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.25 : 846.56 = 846.56 : x
  2. Step 2: Convert to fraction form
    392.25/846.56 = 846.56/x
  3. Step 3: Cross multiply
    392.25x = 846.56 × 846.56
  4. Step 4: Simplify right side
    392.25x = 716,668.07
  5. Step 5: Solve for x
    x = 716,668.07/392.25
  6. Step 6: Final answer
    x = 1,827.07

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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.