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Finding the Third Proportional to 133.69 and 322.97

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Solution

The third proportional to 133.69 and 322.97 is: 780.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.69 : 322.97 = 322.97 : x
  2. Step 2: Convert to fraction form
    133.69/322.97 = 322.97/x
  3. Step 3: Cross multiply
    133.69x = 322.97 × 322.97
  4. Step 4: Simplify right side
    133.69x = 104,308.81
  5. Step 5: Solve for x
    x = 104,308.81/133.69
  6. Step 6: Final answer
    x = 780.24

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.