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Finding the Third Proportional to 18,807 and 40,205

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Solution

The third proportional to 18,807 and 40,205 is: 85,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,807 : 40,205 = 40,205 : x
  2. Step 2: Convert to fraction form
    18,807/40,205 = 40,205/x
  3. Step 3: Cross multiply
    18,807x = 40,205 × 40,205
  4. Step 4: Simplify right side
    18,807x = 1,616,442,025
  5. Step 5: Solve for x
    x = 1,616,442,025/18,807
  6. Step 6: Final answer
    x = 85,948.96

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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.