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Finding the Third Proportional to 17,487 and 36,945

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Solution

The third proportional to 17,487 and 36,945 is: 78,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,487 : 36,945 = 36,945 : x
  2. Step 2: Convert to fraction form
    17,487/36,945 = 36,945/x
  3. Step 3: Cross multiply
    17,487x = 36,945 × 36,945
  4. Step 4: Simplify right side
    17,487x = 1,364,933,025
  5. Step 5: Solve for x
    x = 1,364,933,025/17,487
  6. Step 6: Final answer
    x = 78,054.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.