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Finding the Third Proportional to 629.69 and 1,356.84

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Solution

The third proportional to 629.69 and 1,356.84 is: 2,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.69 : 1,356.84 = 1,356.84 : x
  2. Step 2: Convert to fraction form
    629.69/1,356.84 = 1,356.84/x
  3. Step 3: Cross multiply
    629.69x = 1,356.84 × 1,356.84
  4. Step 4: Simplify right side
    629.69x = 1,841,024.96
  5. Step 5: Solve for x
    x = 1,841,024.96/629.69
  6. Step 6: Final answer
    x = 2,923.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.