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Finding the Third Proportional to 217.48 and 450.07

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Solution

The third proportional to 217.48 and 450.07 is: 931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.48 : 450.07 = 450.07 : x
  2. Step 2: Convert to fraction form
    217.48/450.07 = 450.07/x
  3. Step 3: Cross multiply
    217.48x = 450.07 × 450.07
  4. Step 4: Simplify right side
    217.48x = 202,563.29
  5. Step 5: Solve for x
    x = 202,563.29/217.48
  6. Step 6: Final answer
    x = 931.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.