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Finding the Third Proportional to 411.88 and 451.13

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Solution

The third proportional to 411.88 and 451.13 is: 494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.88 : 451.13 = 451.13 : x
  2. Step 2: Convert to fraction form
    411.88/451.13 = 451.13/x
  3. Step 3: Cross multiply
    411.88x = 451.13 × 451.13
  4. Step 4: Simplify right side
    411.88x = 203,513.77
  5. Step 5: Solve for x
    x = 203,513.77/411.88
  6. Step 6: Final answer
    x = 494.12

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.