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Finding the Third Proportional to 304.31 and 453.19

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Solution

The third proportional to 304.31 and 453.19 is: 674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.31 : 453.19 = 453.19 : x
  2. Step 2: Convert to fraction form
    304.31/453.19 = 453.19/x
  3. Step 3: Cross multiply
    304.31x = 453.19 × 453.19
  4. Step 4: Simplify right side
    304.31x = 205,378.91
  5. Step 5: Solve for x
    x = 205,378.91/304.31
  6. Step 6: Final answer
    x = 674.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.