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Finding the Third Proportional to 414.49 and 664.45

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Solution

The third proportional to 414.49 and 664.45 is: 1,065.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.49 : 664.45 = 664.45 : x
  2. Step 2: Convert to fraction form
    414.49/664.45 = 664.45/x
  3. Step 3: Cross multiply
    414.49x = 664.45 × 664.45
  4. Step 4: Simplify right side
    414.49x = 441,497.96
  5. Step 5: Solve for x
    x = 441,497.96/414.49
  6. Step 6: Final answer
    x = 1,065.15

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.