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Finding the Third Proportional to 399.94 and 925.80

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Solution

The third proportional to 399.94 and 925.80 is: 2,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.94 : 925.80 = 925.80 : x
  2. Step 2: Convert to fraction form
    399.94/925.80 = 925.80/x
  3. Step 3: Cross multiply
    399.94x = 925.80 × 925.80
  4. Step 4: Simplify right side
    399.94x = 857,114.32
  5. Step 5: Solve for x
    x = 857,114.32/399.94
  6. Step 6: Final answer
    x = 2,143.12

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.