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Finding the Third Proportional to 13,478 and 14,918

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Solution

The third proportional to 13,478 and 14,918 is: 16,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478 : 14,918 = 14,918 : x
  2. Step 2: Convert to fraction form
    13,478/14,918 = 14,918/x
  3. Step 3: Cross multiply
    13,478x = 14,918 × 14,918
  4. Step 4: Simplify right side
    13,478x = 222,546,724
  5. Step 5: Solve for x
    x = 222,546,724/13,478
  6. Step 6: Final answer
    x = 16,511.85

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.