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Finding the Third Proportional to 1,921.69 and 4,138.22

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Solution

The third proportional to 1,921.69 and 4,138.22 is: 8,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.69 : 4,138.22 = 4,138.22 : x
  2. Step 2: Convert to fraction form
    1,921.69/4,138.22 = 4,138.22/x
  3. Step 3: Cross multiply
    1,921.69x = 4,138.22 × 4,138.22
  4. Step 4: Simplify right side
    1,921.69x = 17,124,854.42
  5. Step 5: Solve for x
    x = 17,124,854.42/1,921.69
  6. Step 6: Final answer
    x = 8,911.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.