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Finding the Third Proportional to 471.45 and 1,036.23

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Solution

The third proportional to 471.45 and 1,036.23 is: 2,277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.45 : 1,036.23 = 1,036.23 : x
  2. Step 2: Convert to fraction form
    471.45/1,036.23 = 1,036.23/x
  3. Step 3: Cross multiply
    471.45x = 1,036.23 × 1,036.23
  4. Step 4: Simplify right side
    471.45x = 1,073,773.58
  5. Step 5: Solve for x
    x = 1,073,773.58/471.45
  6. Step 6: Final answer
    x = 2,277.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.