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Finding the Third Proportional to 11,640 and 19,278

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Solution

The third proportional to 11,640 and 19,278 is: 31,927.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640 : 19,278 = 19,278 : x
  2. Step 2: Convert to fraction form
    11,640/19,278 = 19,278/x
  3. Step 3: Cross multiply
    11,640x = 19,278 × 19,278
  4. Step 4: Simplify right side
    11,640x = 371,641,284
  5. Step 5: Solve for x
    x = 371,641,284/11,640
  6. Step 6: Final answer
    x = 31,927.95

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.