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Finding the Third Proportional to 4,620.38 and 10,523.25

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Solution

The third proportional to 4,620.38 and 10,523.25 is: 23,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.38 : 10,523.25 = 10,523.25 : x
  2. Step 2: Convert to fraction form
    4,620.38/10,523.25 = 10,523.25/x
  3. Step 3: Cross multiply
    4,620.38x = 10,523.25 × 10,523.25
  4. Step 4: Simplify right side
    4,620.38x = 110,738,790.56
  5. Step 5: Solve for x
    x = 110,738,790.56/4,620.38
  6. Step 6: Final answer
    x = 23,967.49

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.