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Finding the Third Proportional to 307.13 and 340.88

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Solution

The third proportional to 307.13 and 340.88 is: 378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.13 : 340.88 = 340.88 : x
  2. Step 2: Convert to fraction form
    307.13/340.88 = 340.88/x
  3. Step 3: Cross multiply
    307.13x = 340.88 × 340.88
  4. Step 4: Simplify right side
    307.13x = 116,195.77
  5. Step 5: Solve for x
    x = 116,195.77/307.13
  6. Step 6: Final answer
    x = 378.33

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.