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Finding the Third Proportional to 537.05 and 799.45

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Solution

The third proportional to 537.05 and 799.45 is: 1,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.05 : 799.45 = 799.45 : x
  2. Step 2: Convert to fraction form
    537.05/799.45 = 799.45/x
  3. Step 3: Cross multiply
    537.05x = 799.45 × 799.45
  4. Step 4: Simplify right side
    537.05x = 639,125.30
  5. Step 5: Solve for x
    x = 639,125.30/537.05
  6. Step 6: Final answer
    x = 1,190.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.