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Finding the Third Proportional to 275.81 and 604.31

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Solution

The third proportional to 275.81 and 604.31 is: 1,324.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.81 : 604.31 = 604.31 : x
  2. Step 2: Convert to fraction form
    275.81/604.31 = 604.31/x
  3. Step 3: Cross multiply
    275.81x = 604.31 × 604.31
  4. Step 4: Simplify right side
    275.81x = 365,193.60
  5. Step 5: Solve for x
    x = 365,193.60/275.81
  6. Step 6: Final answer
    x = 1,324.06

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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.