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Finding the Third Proportional to 411.42 and 913.97

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Solution

The third proportional to 411.42 and 913.97 is: 2,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.42 : 913.97 = 913.97 : x
  2. Step 2: Convert to fraction form
    411.42/913.97 = 913.97/x
  3. Step 3: Cross multiply
    411.42x = 913.97 × 913.97
  4. Step 4: Simplify right side
    411.42x = 835,338.88
  5. Step 5: Solve for x
    x = 835,338.88/411.42
  6. Step 6: Final answer
    x = 2,030.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.