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Finding the Third Proportional to 41,688 and 91,278

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Solution

The third proportional to 41,688 and 91,278 is: 199,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,688 : 91,278 = 91,278 : x
  2. Step 2: Convert to fraction form
    41,688/91,278 = 91,278/x
  3. Step 3: Cross multiply
    41,688x = 91,278 × 91,278
  4. Step 4: Simplify right side
    41,688x = 8,331,673,284
  5. Step 5: Solve for x
    x = 8,331,673,284/41,688
  6. Step 6: Final answer
    x = 199,857.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.