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Finding the Third Proportional to 217,005 and 335,976

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Solution

The third proportional to 217,005 and 335,976 is: 520,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,005 : 335,976 = 335,976 : x
  2. Step 2: Convert to fraction form
    217,005/335,976 = 335,976/x
  3. Step 3: Cross multiply
    217,005x = 335,976 × 335,976
  4. Step 4: Simplify right side
    217,005x = 112,879,872,576
  5. Step 5: Solve for x
    x = 112,879,872,576/217,005
  6. Step 6: Final answer
    x = 520,171.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.