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Finding the Third Proportional to 395.30 and 858.94

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Solution

The third proportional to 395.30 and 858.94 is: 1,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.30 : 858.94 = 858.94 : x
  2. Step 2: Convert to fraction form
    395.30/858.94 = 858.94/x
  3. Step 3: Cross multiply
    395.30x = 858.94 × 858.94
  4. Step 4: Simplify right side
    395.30x = 737,773.63
  5. Step 5: Solve for x
    x = 737,773.63/395.30
  6. Step 6: Final answer
    x = 1,866.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.