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Finding the Third Proportional to 385.03 and 628.03

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Solution

The third proportional to 385.03 and 628.03 is: 1,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.03 : 628.03 = 628.03 : x
  2. Step 2: Convert to fraction form
    385.03/628.03 = 628.03/x
  3. Step 3: Cross multiply
    385.03x = 628.03 × 628.03
  4. Step 4: Simplify right side
    385.03x = 394,423.25
  5. Step 5: Solve for x
    x = 394,423.25/385.03
  6. Step 6: Final answer
    x = 1,024.39

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.