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Finding the Third Proportional to 408.94 and 752.06

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Solution

The third proportional to 408.94 and 752.06 is: 1,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.94 : 752.06 = 752.06 : x
  2. Step 2: Convert to fraction form
    408.94/752.06 = 752.06/x
  3. Step 3: Cross multiply
    408.94x = 752.06 × 752.06
  4. Step 4: Simplify right side
    408.94x = 565,598.00
  5. Step 5: Solve for x
    x = 565,598.00/408.94
  6. Step 6: Final answer
    x = 1,383.09

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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.