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Finding the Third Proportional to 13,640 and 19,128

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Solution

The third proportional to 13,640 and 19,128 is: 26,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640 : 19,128 = 19,128 : x
  2. Step 2: Convert to fraction form
    13,640/19,128 = 19,128/x
  3. Step 3: Cross multiply
    13,640x = 19,128 × 19,128
  4. Step 4: Simplify right side
    13,640x = 365,880,384
  5. Step 5: Solve for x
    x = 365,880,384/13,640
  6. Step 6: Final answer
    x = 26,824.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.