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Finding the Third Proportional to 629.78 and 978.84

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Solution

The third proportional to 629.78 and 978.84 is: 1,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.78 : 978.84 = 978.84 : x
  2. Step 2: Convert to fraction form
    629.78/978.84 = 978.84/x
  3. Step 3: Cross multiply
    629.78x = 978.84 × 978.84
  4. Step 4: Simplify right side
    629.78x = 958,135.09
  5. Step 5: Solve for x
    x = 958,135.09/629.78
  6. Step 6: Final answer
    x = 1,521.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.