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Finding the Third Proportional to 493.03 and 771.61

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Solution

The third proportional to 493.03 and 771.61 is: 1,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.03 : 771.61 = 771.61 : x
  2. Step 2: Convert to fraction form
    493.03/771.61 = 771.61/x
  3. Step 3: Cross multiply
    493.03x = 771.61 × 771.61
  4. Step 4: Simplify right side
    493.03x = 595,381.03
  5. Step 5: Solve for x
    x = 595,381.03/493.03
  6. Step 6: Final answer
    x = 1,207.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.