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Finding the Third Proportional to 1,992.52 and 4,378.22

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Solution

The third proportional to 1,992.52 and 4,378.22 is: 9,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.52 : 4,378.22 = 4,378.22 : x
  2. Step 2: Convert to fraction form
    1,992.52/4,378.22 = 4,378.22/x
  3. Step 3: Cross multiply
    1,992.52x = 4,378.22 × 4,378.22
  4. Step 4: Simplify right side
    1,992.52x = 19,168,799.42
  5. Step 5: Solve for x
    x = 19,168,799.42/1,992.52
  6. Step 6: Final answer
    x = 9,620.40

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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.