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Finding the Third Proportional to 18,814 and 40,222

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Solution

The third proportional to 18,814 and 40,222 is: 85,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,814 : 40,222 = 40,222 : x
  2. Step 2: Convert to fraction form
    18,814/40,222 = 40,222/x
  3. Step 3: Cross multiply
    18,814x = 40,222 × 40,222
  4. Step 4: Simplify right side
    18,814x = 1,617,809,284
  5. Step 5: Solve for x
    x = 1,617,809,284/18,814
  6. Step 6: Final answer
    x = 85,989.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.