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Finding the Third Proportional to 18,920 and 40,727

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Solution

The third proportional to 18,920 and 40,727 is: 87,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,920 : 40,727 = 40,727 : x
  2. Step 2: Convert to fraction form
    18,920/40,727 = 40,727/x
  3. Step 3: Cross multiply
    18,920x = 40,727 × 40,727
  4. Step 4: Simplify right side
    18,920x = 1,658,688,529
  5. Step 5: Solve for x
    x = 1,658,688,529/18,920
  6. Step 6: Final answer
    x = 87,668.53

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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.