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Finding the Third Proportional to 161.25 and 342.38

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Solution

The third proportional to 161.25 and 342.38 is: 726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.25 : 342.38 = 342.38 : x
  2. Step 2: Convert to fraction form
    161.25/342.38 = 342.38/x
  3. Step 3: Cross multiply
    161.25x = 342.38 × 342.38
  4. Step 4: Simplify right side
    161.25x = 117,220.64
  5. Step 5: Solve for x
    x = 117,220.64/161.25
  6. Step 6: Final answer
    x = 726.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.