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Finding the Third Proportional to 30,912 and 67,344

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Solution

The third proportional to 30,912 and 67,344 is: 146,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,912 : 67,344 = 67,344 : x
  2. Step 2: Convert to fraction form
    30,912/67,344 = 67,344/x
  3. Step 3: Cross multiply
    30,912x = 67,344 × 67,344
  4. Step 4: Simplify right side
    30,912x = 4,535,214,336
  5. Step 5: Solve for x
    x = 4,535,214,336/30,912
  6. Step 6: Final answer
    x = 146,713.71

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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.