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Finding the Third Proportional to 639.75 and 735.75

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Solution

The third proportional to 639.75 and 735.75 is: 846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.75 : 735.75 = 735.75 : x
  2. Step 2: Convert to fraction form
    639.75/735.75 = 735.75/x
  3. Step 3: Cross multiply
    639.75x = 735.75 × 735.75
  4. Step 4: Simplify right side
    639.75x = 541,328.06
  5. Step 5: Solve for x
    x = 541,328.06/639.75
  6. Step 6: Final answer
    x = 846.16

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.