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Finding the Third Proportional to 18,160 and 38,156

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Solution

The third proportional to 18,160 and 38,156 is: 80,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,160 : 38,156 = 38,156 : x
  2. Step 2: Convert to fraction form
    18,160/38,156 = 38,156/x
  3. Step 3: Cross multiply
    18,160x = 38,156 × 38,156
  4. Step 4: Simplify right side
    18,160x = 1,455,880,336
  5. Step 5: Solve for x
    x = 1,455,880,336/18,160
  6. Step 6: Final answer
    x = 80,169.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.