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Finding the Third Proportional to 18,350 and 40,216

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Solution

The third proportional to 18,350 and 40,216 is: 88,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,350 : 40,216 = 40,216 : x
  2. Step 2: Convert to fraction form
    18,350/40,216 = 40,216/x
  3. Step 3: Cross multiply
    18,350x = 40,216 × 40,216
  4. Step 4: Simplify right side
    18,350x = 1,617,326,656
  5. Step 5: Solve for x
    x = 1,617,326,656/18,350
  6. Step 6: Final answer
    x = 88,137.69

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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.