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Finding the Third Proportional to 380.36 and 820.02

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Solution

The third proportional to 380.36 and 820.02 is: 1,767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.36 : 820.02 = 820.02 : x
  2. Step 2: Convert to fraction form
    380.36/820.02 = 820.02/x
  3. Step 3: Cross multiply
    380.36x = 820.02 × 820.02
  4. Step 4: Simplify right side
    380.36x = 672,432.03
  5. Step 5: Solve for x
    x = 672,432.03/380.36
  6. Step 6: Final answer
    x = 1,767.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.