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Finding the Third Proportional to 399.63 and 846.88

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Solution

The third proportional to 399.63 and 846.88 is: 1,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.63 : 846.88 = 846.88 : x
  2. Step 2: Convert to fraction form
    399.63/846.88 = 846.88/x
  3. Step 3: Cross multiply
    399.63x = 846.88 × 846.88
  4. Step 4: Simplify right side
    399.63x = 717,197.27
  5. Step 5: Solve for x
    x = 717,197.27/399.63
  6. Step 6: Final answer
    x = 1,794.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.