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Finding the Third Proportional to 13,776 and 19,638

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Solution

The third proportional to 13,776 and 19,638 is: 27,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776 : 19,638 = 19,638 : x
  2. Step 2: Convert to fraction form
    13,776/19,638 = 19,638/x
  3. Step 3: Cross multiply
    13,776x = 19,638 × 19,638
  4. Step 4: Simplify right side
    13,776x = 385,651,044
  5. Step 5: Solve for x
    x = 385,651,044/13,776
  6. Step 6: Final answer
    x = 27,994.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.