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Finding the Third Proportional to 306.81 and 662.27

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Solution

The third proportional to 306.81 and 662.27 is: 1,429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.81 : 662.27 = 662.27 : x
  2. Step 2: Convert to fraction form
    306.81/662.27 = 662.27/x
  3. Step 3: Cross multiply
    306.81x = 662.27 × 662.27
  4. Step 4: Simplify right side
    306.81x = 438,598.83
  5. Step 5: Solve for x
    x = 438,598.83/306.81
  6. Step 6: Final answer
    x = 1,429.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.