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Finding the Third Proportional to 20,145 and 43,367

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Solution

The third proportional to 20,145 and 43,367 is: 93,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145 : 43,367 = 43,367 : x
  2. Step 2: Convert to fraction form
    20,145/43,367 = 43,367/x
  3. Step 3: Cross multiply
    20,145x = 43,367 × 43,367
  4. Step 4: Simplify right side
    20,145x = 1,880,696,689
  5. Step 5: Solve for x
    x = 1,880,696,689/20,145
  6. Step 6: Final answer
    x = 93,357.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.