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Finding the Third Proportional to 104 and 242.25

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Solution

The third proportional to 104 and 242.25 is: 564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104 : 242.25 = 242.25 : x
  2. Step 2: Convert to fraction form
    104/242.25 = 242.25/x
  3. Step 3: Cross multiply
    104x = 242.25 × 242.25
  4. Step 4: Simplify right side
    104x = 58,685.06
  5. Step 5: Solve for x
    x = 58,685.06/104
  6. Step 6: Final answer
    x = 564.28

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.