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Finding the Third Proportional to 281.68 and 604.98

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Solution

The third proportional to 281.68 and 604.98 is: 1,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.68 : 604.98 = 604.98 : x
  2. Step 2: Convert to fraction form
    281.68/604.98 = 604.98/x
  3. Step 3: Cross multiply
    281.68x = 604.98 × 604.98
  4. Step 4: Simplify right side
    281.68x = 366,001.37
  5. Step 5: Solve for x
    x = 366,001.37/281.68
  6. Step 6: Final answer
    x = 1,299.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.