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Finding the Third Proportional to 18,218 and 28,812

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Solution

The third proportional to 18,218 and 28,812 is: 45,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,218 : 28,812 = 28,812 : x
  2. Step 2: Convert to fraction form
    18,218/28,812 = 28,812/x
  3. Step 3: Cross multiply
    18,218x = 28,812 × 28,812
  4. Step 4: Simplify right side
    18,218x = 830,131,344
  5. Step 5: Solve for x
    x = 830,131,344/18,218
  6. Step 6: Final answer
    x = 45,566.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.