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Finding the Third Proportional to 453.73 and 993.83

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Solution

The third proportional to 453.73 and 993.83 is: 2,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.73 : 993.83 = 993.83 : x
  2. Step 2: Convert to fraction form
    453.73/993.83 = 993.83/x
  3. Step 3: Cross multiply
    453.73x = 993.83 × 993.83
  4. Step 4: Simplify right side
    453.73x = 987,702.11
  5. Step 5: Solve for x
    x = 987,702.11/453.73
  6. Step 6: Final answer
    x = 2,176.87

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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.