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Finding the Third Proportional to 7,845 and 11,342.25

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Solution

The third proportional to 7,845 and 11,342.25 is: 16,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845 : 11,342.25 = 11,342.25 : x
  2. Step 2: Convert to fraction form
    7,845/11,342.25 = 11,342.25/x
  3. Step 3: Cross multiply
    7,845x = 11,342.25 × 11,342.25
  4. Step 4: Simplify right side
    7,845x = 128,646,635.06
  5. Step 5: Solve for x
    x = 128,646,635.06/7,845
  6. Step 6: Final answer
    x = 16,398.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.