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Finding the Third Proportional to 309.60 and 453.41

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Solution

The third proportional to 309.60 and 453.41 is: 664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.60 : 453.41 = 453.41 : x
  2. Step 2: Convert to fraction form
    309.60/453.41 = 453.41/x
  3. Step 3: Cross multiply
    309.60x = 453.41 × 453.41
  4. Step 4: Simplify right side
    309.60x = 205,580.77
  5. Step 5: Solve for x
    x = 205,580.77/309.60
  6. Step 6: Final answer
    x = 664.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.