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Finding the Third Proportional to 113.12 and 239.04

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Solution

The third proportional to 113.12 and 239.04 is: 505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.12 : 239.04 = 239.04 : x
  2. Step 2: Convert to fraction form
    113.12/239.04 = 239.04/x
  3. Step 3: Cross multiply
    113.12x = 239.04 × 239.04
  4. Step 4: Simplify right side
    113.12x = 57,142.47
  5. Step 5: Solve for x
    x = 57,142.47/113.12
  6. Step 6: Final answer
    x = 505.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.