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Finding the Third Proportional to 217,512 and 441,135

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Solution

The third proportional to 217,512 and 441,135 is: 894,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,512 : 441,135 = 441,135 : x
  2. Step 2: Convert to fraction form
    217,512/441,135 = 441,135/x
  3. Step 3: Cross multiply
    217,512x = 441,135 × 441,135
  4. Step 4: Simplify right side
    217,512x = 194,600,088,225
  5. Step 5: Solve for x
    x = 194,600,088,225/217,512
  6. Step 6: Final answer
    x = 894,663.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.