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Finding the Third Proportional to 9,904.78 and 20,698.03

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Solution

The third proportional to 9,904.78 and 20,698.03 is: 43,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.78 : 20,698.03 = 20,698.03 : x
  2. Step 2: Convert to fraction form
    9,904.78/20,698.03 = 20,698.03/x
  3. Step 3: Cross multiply
    9,904.78x = 20,698.03 × 20,698.03
  4. Step 4: Simplify right side
    9,904.78x = 428,408,497.63
  5. Step 5: Solve for x
    x = 428,408,497.63/9,904.78
  6. Step 6: Final answer
    x = 43,252.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.