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Finding the Third Proportional to 10,845.75 and 11,979.75

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Solution

The third proportional to 10,845.75 and 11,979.75 is: 13,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,845.75 : 11,979.75 = 11,979.75 : x
  2. Step 2: Convert to fraction form
    10,845.75/11,979.75 = 11,979.75/x
  3. Step 3: Cross multiply
    10,845.75x = 11,979.75 × 11,979.75
  4. Step 4: Simplify right side
    10,845.75x = 143,514,410.06
  5. Step 5: Solve for x
    x = 143,514,410.06/10,845.75
  6. Step 6: Final answer
    x = 13,232.32

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.