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Finding the Third Proportional to 13,475 and 21,325

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Solution

The third proportional to 13,475 and 21,325 is: 33,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475 : 21,325 = 21,325 : x
  2. Step 2: Convert to fraction form
    13,475/21,325 = 21,325/x
  3. Step 3: Cross multiply
    13,475x = 21,325 × 21,325
  4. Step 4: Simplify right side
    13,475x = 454,755,625
  5. Step 5: Solve for x
    x = 454,755,625/13,475
  6. Step 6: Final answer
    x = 33,748.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.