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Finding the Third Proportional to 391.81 and 837.63

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Solution

The third proportional to 391.81 and 837.63 is: 1,790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.81 : 837.63 = 837.63 : x
  2. Step 2: Convert to fraction form
    391.81/837.63 = 837.63/x
  3. Step 3: Cross multiply
    391.81x = 837.63 × 837.63
  4. Step 4: Simplify right side
    391.81x = 701,615.64
  5. Step 5: Solve for x
    x = 701,615.64/391.81
  6. Step 6: Final answer
    x = 1,790.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.