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Finding the Third Proportional to 153.77 and 327.48

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Solution

The third proportional to 153.77 and 327.48 is: 697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.77 : 327.48 = 327.48 : x
  2. Step 2: Convert to fraction form
    153.77/327.48 = 327.48/x
  3. Step 3: Cross multiply
    153.77x = 327.48 × 327.48
  4. Step 4: Simplify right side
    153.77x = 107,243.46
  5. Step 5: Solve for x
    x = 107,243.46/153.77
  6. Step 6: Final answer
    x = 697.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.