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Finding the Third Proportional to 431.06 and 471.56

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Solution

The third proportional to 431.06 and 471.56 is: 515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.06 : 471.56 = 471.56 : x
  2. Step 2: Convert to fraction form
    431.06/471.56 = 471.56/x
  3. Step 3: Cross multiply
    431.06x = 471.56 × 471.56
  4. Step 4: Simplify right side
    431.06x = 222,371.19
  5. Step 5: Solve for x
    x = 222,371.19/431.06
  6. Step 6: Final answer
    x = 515.87

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.