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Finding the Third Proportional to 16,621 and 36,085

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Solution

The third proportional to 16,621 and 36,085 is: 78,342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,621 : 36,085 = 36,085 : x
  2. Step 2: Convert to fraction form
    16,621/36,085 = 36,085/x
  3. Step 3: Cross multiply
    16,621x = 36,085 × 36,085
  4. Step 4: Simplify right side
    16,621x = 1,302,127,225
  5. Step 5: Solve for x
    x = 1,302,127,225/16,621
  6. Step 6: Final answer
    x = 78,342.29

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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.