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Finding the Third Proportional to 18,874 and 28,318

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Solution

The third proportional to 18,874 and 28,318 is: 42,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,874 : 28,318 = 28,318 : x
  2. Step 2: Convert to fraction form
    18,874/28,318 = 28,318/x
  3. Step 3: Cross multiply
    18,874x = 28,318 × 28,318
  4. Step 4: Simplify right side
    18,874x = 801,909,124
  5. Step 5: Solve for x
    x = 801,909,124/18,874
  6. Step 6: Final answer
    x = 42,487.50

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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.