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Finding the Third Proportional to 5,125.78 and 9,682.03

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Solution

The third proportional to 5,125.78 and 9,682.03 is: 18,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.78 : 9,682.03 = 9,682.03 : x
  2. Step 2: Convert to fraction form
    5,125.78/9,682.03 = 9,682.03/x
  3. Step 3: Cross multiply
    5,125.78x = 9,682.03 × 9,682.03
  4. Step 4: Simplify right side
    5,125.78x = 93,741,729.13
  5. Step 5: Solve for x
    x = 93,741,729.13/5,125.78
  6. Step 6: Final answer
    x = 18,288.28

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.