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Finding the Third Proportional to 306 and 453.09

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Solution

The third proportional to 306 and 453.09 is: 670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306 : 453.09 = 453.09 : x
  2. Step 2: Convert to fraction form
    306/453.09 = 453.09/x
  3. Step 3: Cross multiply
    306x = 453.09 × 453.09
  4. Step 4: Simplify right side
    306x = 205,293.95
  5. Step 5: Solve for x
    x = 205,293.95/306
  6. Step 6: Final answer
    x = 670.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.