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Finding the Third Proportional to 389.67 and 600.80

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Solution

The third proportional to 389.67 and 600.80 is: 926.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.67 : 600.80 = 600.80 : x
  2. Step 2: Convert to fraction form
    389.67/600.80 = 600.80/x
  3. Step 3: Cross multiply
    389.67x = 600.80 × 600.80
  4. Step 4: Simplify right side
    389.67x = 360,956.89
  5. Step 5: Solve for x
    x = 360,956.89/389.67
  6. Step 6: Final answer
    x = 926.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.