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Finding the Third Proportional to 133.19 and 289.06

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Solution

The third proportional to 133.19 and 289.06 is: 627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.19 : 289.06 = 289.06 : x
  2. Step 2: Convert to fraction form
    133.19/289.06 = 289.06/x
  3. Step 3: Cross multiply
    133.19x = 289.06 × 289.06
  4. Step 4: Simplify right side
    133.19x = 83,557.13
  5. Step 5: Solve for x
    x = 83,557.13/133.19
  6. Step 6: Final answer
    x = 627.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.