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Finding the Third Proportional to 546.33 and 1,189.90

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Solution

The third proportional to 546.33 and 1,189.90 is: 2,591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.33 : 1,189.90 = 1,189.90 : x
  2. Step 2: Convert to fraction form
    546.33/1,189.90 = 1,189.90/x
  3. Step 3: Cross multiply
    546.33x = 1,189.90 × 1,189.90
  4. Step 4: Simplify right side
    546.33x = 1,415,858.29
  5. Step 5: Solve for x
    x = 1,415,858.29/546.33
  6. Step 6: Final answer
    x = 2,591.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.