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Finding the Third Proportional to 222.25 and 355.03

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Solution

The third proportional to 222.25 and 355.03 is: 567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.25 : 355.03 = 355.03 : x
  2. Step 2: Convert to fraction form
    222.25/355.03 = 355.03/x
  3. Step 3: Cross multiply
    222.25x = 355.03 × 355.03
  4. Step 4: Simplify right side
    222.25x = 126,047.19
  5. Step 5: Solve for x
    x = 126,047.19/222.25
  6. Step 6: Final answer
    x = 567.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.