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Finding the Third Proportional to 13,878 and 16,470

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Solution

The third proportional to 13,878 and 16,470 is: 19,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878 : 16,470 = 16,470 : x
  2. Step 2: Convert to fraction form
    13,878/16,470 = 16,470/x
  3. Step 3: Cross multiply
    13,878x = 16,470 × 16,470
  4. Step 4: Simplify right side
    13,878x = 271,260,900
  5. Step 5: Solve for x
    x = 271,260,900/13,878
  6. Step 6: Final answer
    x = 19,546.11

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.