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Finding the Third Proportional to 493.50 and 1,062.94

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Solution

The third proportional to 493.50 and 1,062.94 is: 2,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.50 : 1,062.94 = 1,062.94 : x
  2. Step 2: Convert to fraction form
    493.50/1,062.94 = 1,062.94/x
  3. Step 3: Cross multiply
    493.50x = 1,062.94 × 1,062.94
  4. Step 4: Simplify right side
    493.50x = 1,129,836.13
  5. Step 5: Solve for x
    x = 1,129,836.13/493.50
  6. Step 6: Final answer
    x = 2,289.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.