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Finding the Third Proportional to 18,501 and 40,145

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Solution

The third proportional to 18,501 and 40,145 is: 87,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,501 : 40,145 = 40,145 : x
  2. Step 2: Convert to fraction form
    18,501/40,145 = 40,145/x
  3. Step 3: Cross multiply
    18,501x = 40,145 × 40,145
  4. Step 4: Simplify right side
    18,501x = 1,611,621,025
  5. Step 5: Solve for x
    x = 1,611,621,025/18,501
  6. Step 6: Final answer
    x = 87,109.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.