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Finding the Third Proportional to 629.72 and 979.17

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Solution

The third proportional to 629.72 and 979.17 is: 1,522.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.72 : 979.17 = 979.17 : x
  2. Step 2: Convert to fraction form
    629.72/979.17 = 979.17/x
  3. Step 3: Cross multiply
    629.72x = 979.17 × 979.17
  4. Step 4: Simplify right side
    629.72x = 958,777.56
  5. Step 5: Solve for x
    x = 958,777.56/629.72
  6. Step 6: Final answer
    x = 1,522.55

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Why These Related Problems?

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