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Finding the Third Proportional to 313.88 and 853.03

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Solution

The third proportional to 313.88 and 853.03 is: 2,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.88 : 853.03 = 853.03 : x
  2. Step 2: Convert to fraction form
    313.88/853.03 = 853.03/x
  3. Step 3: Cross multiply
    313.88x = 853.03 × 853.03
  4. Step 4: Simplify right side
    313.88x = 727,662.31
  5. Step 5: Solve for x
    x = 727,662.31/313.88
  6. Step 6: Final answer
    x = 2,318.32

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.