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Finding the Third Proportional to 345.75 and 551.06

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Solution

The third proportional to 345.75 and 551.06 is: 878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.75 : 551.06 = 551.06 : x
  2. Step 2: Convert to fraction form
    345.75/551.06 = 551.06/x
  3. Step 3: Cross multiply
    345.75x = 551.06 × 551.06
  4. Step 4: Simplify right side
    345.75x = 303,669.88
  5. Step 5: Solve for x
    x = 303,669.88/345.75
  6. Step 6: Final answer
    x = 878.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.