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Finding the Third Proportional to 392.63 and 837.38

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Solution

The third proportional to 392.63 and 837.38 is: 1,785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.63 : 837.38 = 837.38 : x
  2. Step 2: Convert to fraction form
    392.63/837.38 = 837.38/x
  3. Step 3: Cross multiply
    392.63x = 837.38 × 837.38
  4. Step 4: Simplify right side
    392.63x = 701,196.89
  5. Step 5: Solve for x
    x = 701,196.89/392.63
  6. Step 6: Final answer
    x = 1,785.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.