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Finding the Third Proportional to 153.14 and 221.48

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Solution

The third proportional to 153.14 and 221.48 is: 320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.14 : 221.48 = 221.48 : x
  2. Step 2: Convert to fraction form
    153.14/221.48 = 221.48/x
  3. Step 3: Cross multiply
    153.14x = 221.48 × 221.48
  4. Step 4: Simplify right side
    153.14x = 49,055.33
  5. Step 5: Solve for x
    x = 49,055.33/153.14
  6. Step 6: Final answer
    x = 320.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.