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Finding the Third Proportional to 113.13 and 208.27

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Solution

The third proportional to 113.13 and 208.27 is: 383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.13 : 208.27 = 208.27 : x
  2. Step 2: Convert to fraction form
    113.13/208.27 = 208.27/x
  3. Step 3: Cross multiply
    113.13x = 208.27 × 208.27
  4. Step 4: Simplify right side
    113.13x = 43,374.57
  5. Step 5: Solve for x
    x = 43,374.57/113.13
  6. Step 6: Final answer
    x = 383.40

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.