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Finding the Third Proportional to 21,171 and 44,475

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Solution

The third proportional to 21,171 and 44,475 is: 93,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,171 : 44,475 = 44,475 : x
  2. Step 2: Convert to fraction form
    21,171/44,475 = 44,475/x
  3. Step 3: Cross multiply
    21,171x = 44,475 × 44,475
  4. Step 4: Simplify right side
    21,171x = 1,978,025,625
  5. Step 5: Solve for x
    x = 1,978,025,625/21,171
  6. Step 6: Final answer
    x = 93,430.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.