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Finding the Third Proportional to 453.01 and 993.59

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Solution

The third proportional to 453.01 and 993.59 is: 2,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.01 : 993.59 = 993.59 : x
  2. Step 2: Convert to fraction form
    453.01/993.59 = 993.59/x
  3. Step 3: Cross multiply
    453.01x = 993.59 × 993.59
  4. Step 4: Simplify right side
    453.01x = 987,230.48
  5. Step 5: Solve for x
    x = 987,230.48/453.01
  6. Step 6: Final answer
    x = 2,179.25

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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.