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Finding the Third Proportional to 18,938 and 40,783

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Solution

The third proportional to 18,938 and 40,783 is: 87,826.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,938 : 40,783 = 40,783 : x
  2. Step 2: Convert to fraction form
    18,938/40,783 = 40,783/x
  3. Step 3: Cross multiply
    18,938x = 40,783 × 40,783
  4. Step 4: Simplify right side
    18,938x = 1,663,253,089
  5. Step 5: Solve for x
    x = 1,663,253,089/18,938
  6. Step 6: Final answer
    x = 87,826.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.