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Finding the Third Proportional to 471.09 and 1,091.48

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Solution

The third proportional to 471.09 and 1,091.48 is: 2,528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.09 : 1,091.48 = 1,091.48 : x
  2. Step 2: Convert to fraction form
    471.09/1,091.48 = 1,091.48/x
  3. Step 3: Cross multiply
    471.09x = 1,091.48 × 1,091.48
  4. Step 4: Simplify right side
    471.09x = 1,191,338.14
  5. Step 5: Solve for x
    x = 1,191,338.14/471.09
  6. Step 6: Final answer
    x = 2,528.88

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.