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Finding the Third Proportional to 30,645 and 67,311

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Solution

The third proportional to 30,645 and 67,311 is: 147,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645 : 67,311 = 67,311 : x
  2. Step 2: Convert to fraction form
    30,645/67,311 = 67,311/x
  3. Step 3: Cross multiply
    30,645x = 67,311 × 67,311
  4. Step 4: Simplify right side
    30,645x = 4,530,770,721
  5. Step 5: Solve for x
    x = 4,530,770,721/30,645
  6. Step 6: Final answer
    x = 147,846.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.