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Finding the Third Proportional to 389.50 and 768.13

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Solution

The third proportional to 389.50 and 768.13 is: 1,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.50 : 768.13 = 768.13 : x
  2. Step 2: Convert to fraction form
    389.50/768.13 = 768.13/x
  3. Step 3: Cross multiply
    389.50x = 768.13 × 768.13
  4. Step 4: Simplify right side
    389.50x = 590,016.02
  5. Step 5: Solve for x
    x = 590,016.02/389.50
  6. Step 6: Final answer
    x = 1,514.80

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.