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Finding the Third Proportional to 53,680 and 108,800

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Solution

The third proportional to 53,680 and 108,800 is: 220,518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,680 : 108,800 = 108,800 : x
  2. Step 2: Convert to fraction form
    53,680/108,800 = 108,800/x
  3. Step 3: Cross multiply
    53,680x = 108,800 × 108,800
  4. Step 4: Simplify right side
    53,680x = 11,837,440,000
  5. Step 5: Solve for x
    x = 11,837,440,000/53,680
  6. Step 6: Final answer
    x = 220,518.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.