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Finding the Third Proportional to 9,956.25 and 21,778.88

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Solution

The third proportional to 9,956.25 and 21,778.88 is: 47,640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.25 : 21,778.88 = 21,778.88 : x
  2. Step 2: Convert to fraction form
    9,956.25/21,778.88 = 21,778.88/x
  3. Step 3: Cross multiply
    9,956.25x = 21,778.88 × 21,778.88
  4. Step 4: Simplify right side
    9,956.25x = 474,319,396.27
  5. Step 5: Solve for x
    x = 474,319,396.27/9,956.25
  6. Step 6: Final answer
    x = 47,640.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.