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Finding the Third Proportional to 497.89 and 1,091.90

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Solution

The third proportional to 497.89 and 1,091.90 is: 2,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.89 : 1,091.90 = 1,091.90 : x
  2. Step 2: Convert to fraction form
    497.89/1,091.90 = 1,091.90/x
  3. Step 3: Cross multiply
    497.89x = 1,091.90 × 1,091.90
  4. Step 4: Simplify right side
    497.89x = 1,192,241.66
  5. Step 5: Solve for x
    x = 1,192,241.66/497.89
  6. Step 6: Final answer
    x = 2,394.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.