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Finding the Third Proportional to 13,872.75 and 21,417

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Solution

The third proportional to 13,872.75 and 21,417 is: 33,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.75 : 21,417 = 21,417 : x
  2. Step 2: Convert to fraction form
    13,872.75/21,417 = 21,417/x
  3. Step 3: Cross multiply
    13,872.75x = 21,417 × 21,417
  4. Step 4: Simplify right side
    13,872.75x = 458,687,889
  5. Step 5: Solve for x
    x = 458,687,889/13,872.75
  6. Step 6: Final answer
    x = 33,063.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.