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Finding the Third Proportional to 18,945 and 28,418

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Solution

The third proportional to 18,945 and 28,418 is: 42,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,945 : 28,418 = 28,418 : x
  2. Step 2: Convert to fraction form
    18,945/28,418 = 28,418/x
  3. Step 3: Cross multiply
    18,945x = 28,418 × 28,418
  4. Step 4: Simplify right side
    18,945x = 807,582,724
  5. Step 5: Solve for x
    x = 807,582,724/18,945
  6. Step 6: Final answer
    x = 42,627.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.