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Finding the Third Proportional to 148.69 and 347.44

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Solution

The third proportional to 148.69 and 347.44 is: 811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.69 : 347.44 = 347.44 : x
  2. Step 2: Convert to fraction form
    148.69/347.44 = 347.44/x
  3. Step 3: Cross multiply
    148.69x = 347.44 × 347.44
  4. Step 4: Simplify right side
    148.69x = 120,712.82
  5. Step 5: Solve for x
    x = 120,712.82/148.69
  6. Step 6: Final answer
    x = 811.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.