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Finding the Third Proportional to 628.03 and 1,287.70

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Solution

The third proportional to 628.03 and 1,287.70 is: 2,640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.03 : 1,287.70 = 1,287.70 : x
  2. Step 2: Convert to fraction form
    628.03/1,287.70 = 1,287.70/x
  3. Step 3: Cross multiply
    628.03x = 1,287.70 × 1,287.70
  4. Step 4: Simplify right side
    628.03x = 1,658,179.34
  5. Step 5: Solve for x
    x = 1,658,179.34/628.03
  6. Step 6: Final answer
    x = 2,640.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.