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Finding the Third Proportional to 153.28 and 349.45

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Solution

The third proportional to 153.28 and 349.45 is: 796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.28 : 349.45 = 349.45 : x
  2. Step 2: Convert to fraction form
    153.28/349.45 = 349.45/x
  3. Step 3: Cross multiply
    153.28x = 349.45 × 349.45
  4. Step 4: Simplify right side
    153.28x = 122,117.49
  5. Step 5: Solve for x
    x = 122,117.49/153.28
  6. Step 6: Final answer
    x = 796.69

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.