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Finding the Third Proportional to 133.03 and 346.08

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Solution

The third proportional to 133.03 and 346.08 is: 900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.03 : 346.08 = 346.08 : x
  2. Step 2: Convert to fraction form
    133.03/346.08 = 346.08/x
  3. Step 3: Cross multiply
    133.03x = 346.08 × 346.08
  4. Step 4: Simplify right side
    133.03x = 119,770.07
  5. Step 5: Solve for x
    x = 119,770.07/133.03
  6. Step 6: Final answer
    x = 900.32

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.