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Finding the Third Proportional to 393.50 and 858.88

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Solution

The third proportional to 393.50 and 858.88 is: 1,874.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.50 : 858.88 = 858.88 : x
  2. Step 2: Convert to fraction form
    393.50/858.88 = 858.88/x
  3. Step 3: Cross multiply
    393.50x = 858.88 × 858.88
  4. Step 4: Simplify right side
    393.50x = 737,666.27
  5. Step 5: Solve for x
    x = 737,666.27/393.50
  6. Step 6: Final answer
    x = 1,874.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.