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Finding the Third Proportional to 18,068 and 39,620

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Solution

The third proportional to 18,068 and 39,620 is: 86,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,068 : 39,620 = 39,620 : x
  2. Step 2: Convert to fraction form
    18,068/39,620 = 39,620/x
  3. Step 3: Cross multiply
    18,068x = 39,620 × 39,620
  4. Step 4: Simplify right side
    18,068x = 1,569,744,400
  5. Step 5: Solve for x
    x = 1,569,744,400/18,068
  6. Step 6: Final answer
    x = 86,879.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.