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Finding the Third Proportional to 351.94 and 551.72

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Solution

The third proportional to 351.94 and 551.72 is: 864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.94 : 551.72 = 551.72 : x
  2. Step 2: Convert to fraction form
    351.94/551.72 = 551.72/x
  3. Step 3: Cross multiply
    351.94x = 551.72 × 551.72
  4. Step 4: Simplify right side
    351.94x = 304,393.58
  5. Step 5: Solve for x
    x = 304,393.58/351.94
  6. Step 6: Final answer
    x = 864.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.