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Finding the Third Proportional to 11,252 and 14,878

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Solution

The third proportional to 11,252 and 14,878 is: 19,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,252 : 14,878 = 14,878 : x
  2. Step 2: Convert to fraction form
    11,252/14,878 = 14,878/x
  3. Step 3: Cross multiply
    11,252x = 14,878 × 14,878
  4. Step 4: Simplify right side
    11,252x = 221,354,884
  5. Step 5: Solve for x
    x = 221,354,884/11,252
  6. Step 6: Final answer
    x = 19,672.49

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.