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Finding the Third Proportional to 20,803 and 28,230

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Solution

The third proportional to 20,803 and 28,230 is: 38,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803 : 28,230 = 28,230 : x
  2. Step 2: Convert to fraction form
    20,803/28,230 = 28,230/x
  3. Step 3: Cross multiply
    20,803x = 28,230 × 28,230
  4. Step 4: Simplify right side
    20,803x = 796,932,900
  5. Step 5: Solve for x
    x = 796,932,900/20,803
  6. Step 6: Final answer
    x = 38,308.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.