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Finding the Third Proportional to 10,200.38 and 21,625.88

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Solution

The third proportional to 10,200.38 and 21,625.88 is: 45,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.38 : 21,625.88 = 21,625.88 : x
  2. Step 2: Convert to fraction form
    10,200.38/21,625.88 = 21,625.88/x
  3. Step 3: Cross multiply
    10,200.38x = 21,625.88 × 21,625.88
  4. Step 4: Simplify right side
    10,200.38x = 467,678,469.52
  5. Step 5: Solve for x
    x = 467,678,469.52/10,200.38
  6. Step 6: Final answer
    x = 45,849.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.