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Finding the Third Proportional to 13,846 and 21,475

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Solution

The third proportional to 13,846 and 21,475 is: 33,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846 : 21,475 = 21,475 : x
  2. Step 2: Convert to fraction form
    13,846/21,475 = 21,475/x
  3. Step 3: Cross multiply
    13,846x = 21,475 × 21,475
  4. Step 4: Simplify right side
    13,846x = 461,175,625
  5. Step 5: Solve for x
    x = 461,175,625/13,846
  6. Step 6: Final answer
    x = 33,307.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.