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Finding the Third Proportional to 18,517 and 39,770

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Solution

The third proportional to 18,517 and 39,770 is: 85,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,517 : 39,770 = 39,770 : x
  2. Step 2: Convert to fraction form
    18,517/39,770 = 39,770/x
  3. Step 3: Cross multiply
    18,517x = 39,770 × 39,770
  4. Step 4: Simplify right side
    18,517x = 1,581,652,900
  5. Step 5: Solve for x
    x = 1,581,652,900/18,517
  6. Step 6: Final answer
    x = 85,416.26

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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.