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Finding the Third Proportional to 46,932 and 101,198

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Solution

The third proportional to 46,932 and 101,198 is: 218,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,932 : 101,198 = 101,198 : x
  2. Step 2: Convert to fraction form
    46,932/101,198 = 101,198/x
  3. Step 3: Cross multiply
    46,932x = 101,198 × 101,198
  4. Step 4: Simplify right side
    46,932x = 10,241,035,204
  5. Step 5: Solve for x
    x = 10,241,035,204/46,932
  6. Step 6: Final answer
    x = 218,210.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.