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Finding the Third Proportional to 453.25 and 919.00

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Solution

The third proportional to 453.25 and 919.00 is: 1,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.25 : 919.00 = 919.00 : x
  2. Step 2: Convert to fraction form
    453.25/919.00 = 919.00/x
  3. Step 3: Cross multiply
    453.25x = 919.00 × 919.00
  4. Step 4: Simplify right side
    453.25x = 844,564.59
  5. Step 5: Solve for x
    x = 844,564.59/453.25
  6. Step 6: Final answer
    x = 1,863.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.