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Finding the Third Proportional to 629.50 and 700

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Solution

The third proportional to 629.50 and 700 is: 778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.50 : 700 = 700 : x
  2. Step 2: Convert to fraction form
    629.50/700 = 700/x
  3. Step 3: Cross multiply
    629.50x = 700 × 700
  4. Step 4: Simplify right side
    629.50x = 490,000
  5. Step 5: Solve for x
    x = 490,000/629.50
  6. Step 6: Final answer
    x = 778.40

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.