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Finding the Third Proportional to 18,280 and 27,645

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Solution

The third proportional to 18,280 and 27,645 is: 41,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,280 : 27,645 = 27,645 : x
  2. Step 2: Convert to fraction form
    18,280/27,645 = 27,645/x
  3. Step 3: Cross multiply
    18,280x = 27,645 × 27,645
  4. Step 4: Simplify right side
    18,280x = 764,246,025
  5. Step 5: Solve for x
    x = 764,246,025/18,280
  6. Step 6: Final answer
    x = 41,807.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.