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Finding the Third Proportional to 30,928.50 and 68,940

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Solution

The third proportional to 30,928.50 and 68,940 is: 153,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,928.50 : 68,940 = 68,940 : x
  2. Step 2: Convert to fraction form
    30,928.50/68,940 = 68,940/x
  3. Step 3: Cross multiply
    30,928.50x = 68,940 × 68,940
  4. Step 4: Simplify right side
    30,928.50x = 4,752,723,600
  5. Step 5: Solve for x
    x = 4,752,723,600/30,928.50
  6. Step 6: Final answer
    x = 153,668.09

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.