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Finding the Third Proportional to 30,828 and 67,241

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Solution

The third proportional to 30,828 and 67,241 is: 146,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828 : 67,241 = 67,241 : x
  2. Step 2: Convert to fraction form
    30,828/67,241 = 67,241/x
  3. Step 3: Cross multiply
    30,828x = 67,241 × 67,241
  4. Step 4: Simplify right side
    30,828x = 4,521,352,081
  5. Step 5: Solve for x
    x = 4,521,352,081/30,828
  6. Step 6: Final answer
    x = 146,663.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.