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Finding the Third Proportional to 417.97 and 905.69

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Solution

The third proportional to 417.97 and 905.69 is: 1,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.97 : 905.69 = 905.69 : x
  2. Step 2: Convert to fraction form
    417.97/905.69 = 905.69/x
  3. Step 3: Cross multiply
    417.97x = 905.69 × 905.69
  4. Step 4: Simplify right side
    417.97x = 820,269.85
  5. Step 5: Solve for x
    x = 820,269.85/417.97
  6. Step 6: Final answer
    x = 1,962.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.