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Finding the Third Proportional to 9,452.22 and 12,844.78

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Solution

The third proportional to 9,452.22 and 12,844.78 is: 17,454.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.22 : 12,844.78 = 12,844.78 : x
  2. Step 2: Convert to fraction form
    9,452.22/12,844.78 = 12,844.78/x
  3. Step 3: Cross multiply
    9,452.22x = 12,844.78 × 12,844.78
  4. Step 4: Simplify right side
    9,452.22x = 164,988,405.36
  5. Step 5: Solve for x
    x = 164,988,405.36/9,452.22
  6. Step 6: Final answer
    x = 17,454.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.