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Finding the Third Proportional to 13,824 and 16,236

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Solution

The third proportional to 13,824 and 16,236 is: 19,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824 : 16,236 = 16,236 : x
  2. Step 2: Convert to fraction form
    13,824/16,236 = 16,236/x
  3. Step 3: Cross multiply
    13,824x = 16,236 × 16,236
  4. Step 4: Simplify right side
    13,824x = 263,607,696
  5. Step 5: Solve for x
    x = 263,607,696/13,824
  6. Step 6: Final answer
    x = 19,068.84

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.