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Finding the Third Proportional to 753.94 and 993.66

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Solution

The third proportional to 753.94 and 993.66 is: 1,309.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.94 : 993.66 = 993.66 : x
  2. Step 2: Convert to fraction form
    753.94/993.66 = 993.66/x
  3. Step 3: Cross multiply
    753.94x = 993.66 × 993.66
  4. Step 4: Simplify right side
    753.94x = 987,352.74
  5. Step 5: Solve for x
    x = 987,352.74/753.94
  6. Step 6: Final answer
    x = 1,309.59

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.