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Finding the Third Proportional to 673.44 and 1,010.98

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Solution

The third proportional to 673.44 and 1,010.98 is: 1,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.44 : 1,010.98 = 1,010.98 : x
  2. Step 2: Convert to fraction form
    673.44/1,010.98 = 1,010.98/x
  3. Step 3: Cross multiply
    673.44x = 1,010.98 × 1,010.98
  4. Step 4: Simplify right side
    673.44x = 1,022,073.61
  5. Step 5: Solve for x
    x = 1,022,073.61/673.44
  6. Step 6: Final answer
    x = 1,517.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.