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Finding the Third Proportional to 419.81 and 453.56

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Solution

The third proportional to 419.81 and 453.56 is: 490.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.81 : 453.56 = 453.56 : x
  2. Step 2: Convert to fraction form
    419.81/453.56 = 453.56/x
  3. Step 3: Cross multiply
    419.81x = 453.56 × 453.56
  4. Step 4: Simplify right side
    419.81x = 205,718.94
  5. Step 5: Solve for x
    x = 205,718.94/419.81
  6. Step 6: Final answer
    x = 490.03

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.