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Finding the Third Proportional to 18,212 and 40,037

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Solution

The third proportional to 18,212 and 40,037 is: 88,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,212 : 40,037 = 40,037 : x
  2. Step 2: Convert to fraction form
    18,212/40,037 = 40,037/x
  3. Step 3: Cross multiply
    18,212x = 40,037 × 40,037
  4. Step 4: Simplify right side
    18,212x = 1,602,961,369
  5. Step 5: Solve for x
    x = 1,602,961,369/18,212
  6. Step 6: Final answer
    x = 88,016.77

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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.