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Finding the Third Proportional to 217,320 and 458,238

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Solution

The third proportional to 217,320 and 458,238 is: 966,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,320 : 458,238 = 458,238 : x
  2. Step 2: Convert to fraction form
    217,320/458,238 = 458,238/x
  3. Step 3: Cross multiply
    217,320x = 458,238 × 458,238
  4. Step 4: Simplify right side
    217,320x = 209,982,064,644
  5. Step 5: Solve for x
    x = 209,982,064,644/217,320
  6. Step 6: Final answer
    x = 966,234.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.