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Finding the Third Proportional to 20,800 and 45,344

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Solution

The third proportional to 20,800 and 45,344 is: 98,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800 : 45,344 = 45,344 : x
  2. Step 2: Convert to fraction form
    20,800/45,344 = 45,344/x
  3. Step 3: Cross multiply
    20,800x = 45,344 × 45,344
  4. Step 4: Simplify right side
    20,800x = 2,056,078,336
  5. Step 5: Solve for x
    x = 2,056,078,336/20,800
  6. Step 6: Final answer
    x = 98,849.92

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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.