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Finding the Third Proportional to 18,290 and 40,252

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Solution

The third proportional to 18,290 and 40,252 is: 88,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,290 : 40,252 = 40,252 : x
  2. Step 2: Convert to fraction form
    18,290/40,252 = 40,252/x
  3. Step 3: Cross multiply
    18,290x = 40,252 × 40,252
  4. Step 4: Simplify right side
    18,290x = 1,620,223,504
  5. Step 5: Solve for x
    x = 1,620,223,504/18,290
  6. Step 6: Final answer
    x = 88,585.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.