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Finding the Third Proportional to 399.30 and 858.73

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Solution

The third proportional to 399.30 and 858.73 is: 1,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.30 : 858.73 = 858.73 : x
  2. Step 2: Convert to fraction form
    399.30/858.73 = 858.73/x
  3. Step 3: Cross multiply
    399.30x = 858.73 × 858.73
  4. Step 4: Simplify right side
    399.30x = 737,411.31
  5. Step 5: Solve for x
    x = 737,411.31/399.30
  6. Step 6: Final answer
    x = 1,846.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.