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Finding the Third Proportional to 387.28 and 853.45

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Solution

The third proportional to 387.28 and 853.45 is: 1,880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.28 : 853.45 = 853.45 : x
  2. Step 2: Convert to fraction form
    387.28/853.45 = 853.45/x
  3. Step 3: Cross multiply
    387.28x = 853.45 × 853.45
  4. Step 4: Simplify right side
    387.28x = 728,382.24
  5. Step 5: Solve for x
    x = 728,382.24/387.28
  6. Step 6: Final answer
    x = 1,880.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.